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Probe mit ",[573,1856,1858,1879],{"className":1857},[576],[573,1859,1861],{"className":1860},[580],[582,1862,1863],{"xmlns":584},[586,1864,1865,1876],{},[589,1866,1867,1869,1872,1874],{},[723,1868,725],{},[592,1870,1871],{},"=",[592,1873,730],{},[732,1875,1403],{},[596,1877,1878],{"encoding":598},"x = -3",[573,1880,1882,1901],{"className":1881,"ariaHidden":603},[602],[573,1883,1885,1889,1892,1895,1898],{"className":1884},[607],[573,1886],{"className":1887,"style":1888},[611],"height:0.4306em;",[573,1890,725],{"className":1891},[750,751],[573,1893],{"className":1894,"style":756},[755],[573,1896,1871],{"className":1897},[616],[573,1899],{"className":1900,"style":756},[755],[573,1902,1904,1907,1910],{"className":1903},[607],[573,1905],{"className":1906,"style":769},[611],[573,1908,730],{"className":1909},[750],[573,1911,1403],{"className":1912},[750],": ",[573,1915,1917,1957],{"className":1916},[576],[573,1918,1920],{"className":1919},[580],[582,1921,1922],{"xmlns":584},[586,1923,1924,1954],{},[589,1925,1926,1928,1930,1933,1935,1937,1939,1941,1943,1945,1947,1950,1952],{},[592,1927,730],{},[732,1929,1403],{},[592,1931,1932],{},"⋅",[592,1934,1460],{"stretchy":1424},[592,1936,730],{},[732,1938,1403],{},[592,1940,1467],{"stretchy":1424},[592,1942,1408],{},[732,1944,946],{},[592,1946,1871],{},[732,1948,1949],{},"14",[592,1951,632],{},[732,1953,1415],{},[596,1955,1956],{"encoding":598},"-3 \\cdot (-3) + 5 = 14 > 11",[573,1958,1960,1981,2008,2026,2044],{"className":1959,"ariaHidden":603},[602],[573,1961,1963,1966,1969,1972,1975,1978],{"className":1962},[607],[573,1964],{"className":1965,"style":769},[611],[573,1967,730],{"className":1968},[750],[573,1970,1403],{"className":1971},[750],[573,1973],{"className":1974,"style":1502},[755],[573,1976,1932],{"className":1977},[1506],[573,1979],{"className":1980,"style":1502},[755],[573,1982,1984,1987,1990,1993,1996,1999,2002,2005],{"className":1983},[607],[573,1985],{"className":1986,"style":1719},[611],[573,1988,1460],{"className":1989},[1211],[573,1991,730],{"className":1992},[750],[573,1994,1403],{"className":1995},[750],[573,1997,1467],{"className":1998},[1294],[573,2000],{"className":2001,"style":1502},[755],[573,2003,1408],{"className":2004},[1506],[573,2006],{"className":2007,"style":1502},[755],[573,2009,2011,2014,2017,2020,2023],{"className":2010},[607],[573,2012],{"className":2013,"style":978},[611],[573,2015,946],{"className":2016},[750],[573,2018],{"className":2019,"style":756},[755],[573,2021,1871],{"className":2022},[616],[573,2024],{"className":2025,"style":756},[755],[573,2027,2029,2032,2035,2038,2041],{"className":2028},[607],[573,2030],{"className":2031,"style":959},[611],[573,2033,1949],{"className":2034},[750],[573,2036],{"className":2037,"style":756},[755],[573,2039,632],{"className":2040},[616],[573,2042],{"className":2043,"style":756},[755],[573,2045,2047,2050],{"className":2046},[607],[573,2048],{"className":2049,"style":978},[611],[573,2051,1415],{"className":2052},[750],", stimmt. An der Grenze ",[573,2055,2057,2077],{"className":2056},[576],[573,2058,2060],{"className":2059},[580],[582,2061,2062],{"xmlns":584},[586,2063,2064,2074],{},[589,2065,2066,2068,2070,2072],{},[723,2067,725],{},[592,2069,1871],{},[592,2071,730],{},[732,2073,734],{},[596,2075,2076],{"encoding":598},"x = -2",[573,2078,2080,2098],{"className":2079,"ariaHidden":603},[602],[573,2081,2083,2086,2089,2092,2095],{"className":2082},[607],[573,2084],{"className":2085,"style":1888},[611],[573,2087,725],{"className":2088},[750,751],[573,2090],{"className":2091,"style":756},[755],[573,2093,1871],{"className":2094},[616],[573,2096],{"className":2097,"style":756},[755],[573,2099,2101,2104,2107],{"className":2100},[607],[573,2102],{"className":2103,"style":769},[611],[573,2105,730],{"className":2106},[750],[573,2108,734],{"className":2109},[750]," ergibt sich genau ",[573,2112,2114,2127],{"className":2113},[576],[573,2115,2117],{"className":2116},[580],[582,2118,2119],{"xmlns":584},[586,2120,2121,2125],{},[589,2122,2123],{},[732,2124,1415],{},[596,2126,1415],{"encoding":598},[573,2128,2130],{"className":2129,"ariaHidden":603},[602],[573,2131,2133,2136],{"className":2132},[607],[573,2134],{"className":2135,"style":978},[611],[573,2137,1415],{"className":2138},[750],[573,2140,2142],{"className":2141},[1385],[573,2143,2145,2198],{"className":2144},[576],[573,2146,2148],{"className":2147},[580],[582,2149,2150],{"xmlns":584,"display":1394},[586,2151,2152,2195],{},[589,2153,2154,2156,2158,2160,2162,2164,2166,2168,2171,2173,2175,2177,2179,2181,2183,2185,2187,2189,2191,2193],{},[732,2155,734],{},[723,2157,725],{},[592,2159,730],{},[732,2161,999],{},[592,2163,661],{},[723,2165,725],{},[592,2167,1408],{},[732,2169,2170],{},"4",[1417,2172,1419],{},[1417,2174,1419],{},[592,2176,1426],{"fence":1424,"stretchy":603,"minsize":1425,"maxsize":1425},[1417,2178,1419],{},[592,2180,730],{},[723,2182,725],{},[592,2184,1408],{},[732,2186,999],{},[755,2188],{"width":1435},[723,2190,725],{},[592,2192,661],{},[732,2194,946],{},[596,2196,2197],{"encoding":598},"2x - 1 \\leq x + 4 \\;\\;\\big|\\; -x + 1 \\qquad x \\leq 5",[573,2199,2201,2222,2241,2260,2324,2342,2366],{"className":2200,"ariaHidden":603},[602],[573,2202,2204,2207,2210,2213,2216,2219],{"className":2203},[607],[573,2205],{"className":2206,"style":769},[611],[573,2208,734],{"className":2209},[750],[573,2211,725],{"className":2212},[750,751],[573,2214],{"className":2215,"style":1502},[755],[573,2217,730],{"className":2218},[1506],[573,2220],{"className":2221,"style":1502},[755],[573,2223,2225,2229,2232,2235,2238],{"className":2224},[607],[573,2226],{"className":2227,"style":2228},[611],"height:0.7804em;vertical-align:-0.136em;",[573,2230,999],{"className":2231},[750],[573,2233],{"className":2234,"style":756},[755],[573,2236,661],{"className":2237},[616],[573,2239],{"className":2240,"style":756},[755],[573,2242,2244,2248,2251,2254,2257],{"className":2243},[607],[573,2245],{"className":2246,"style":2247},[611],"height:0.6667em;vertical-align:-0.0833em;",[573,2249,725],{"className":2250},[750,751],[573,2252],{"className":2253,"style":1502},[755],[573,2255,1408],{"className":2256},[1506],[573,2258],{"className":2259,"style":1502},[755],[573,2261,2263,2266,2269,2272,2275,2312,2315,2318,2321],{"className":2262},[607],[573,2264],{"className":2265,"style":1534},[611],[573,2267,2170],{"className":2268},[750],[573,2270],{"className":2271,"style":756},[755],[573,2273],{"className":2274,"style":756},[755],[573,2276,2278],{"className":2277},[750],[573,2279,2281],{"className":2280},[1550,1551],[573,2282,2284,2304],{"className":2283},[1219,1220],[573,2285,2287,2301],{"className":2286},[1224],[573,2288,2290],{"className":2289,"style":1561},[1228],[573,2291,2292,2295],{"style":1564},[573,2293],{"className":2294,"style":1568},[1236],[573,2296,2297],{"style":1571},[1573,2298,2299],{"xmlns":1575,"width":1576,"height":1425,"viewBox":1577},[1579,2300],{"d":1581},[573,2302,1281],{"className":2303},[1280],[573,2305,2307],{"className":2306},[1224],[573,2308,2310],{"className":2309,"style":1591},[1228],[573,2311],{},[573,2313],{"className":2314,"style":756},[755],[573,2316],{"className":2317,"style":1502},[755],[573,2319,730],{"className":2320},[1506],[573,2322],{"className":2323,"style":1502},[755],[573,2325,2327,2330,2333,2336,2339],{"className":2326},[607],[573,2328],{"className":2329,"style":2247},[611],[573,2331,725],{"className":2332},[750,751],[573,2334],{"className":2335,"style":1502},[755],[573,2337,1408],{"className":2338},[1506],[573,2340],{"className":2341,"style":1502},[755],[573,2343,2345,2348,2351,2354,2357,2360,2363],{"className":2344},[607],[573,2346],{"className":2347,"style":2228},[611],[573,2349,999],{"className":2350},[750],[573,2352],{"className":2353,"style":1618},[755],[573,2355,725],{"className":2356},[750,751],[573,2358],{"className":2359,"style":756},[755],[573,2361,661],{"className":2362},[616],[573,2364],{"className":2365,"style":756},[755],[573,2367,2369,2372],{"className":2368},[607],[573,2370],{"className":2371,"style":978},[611],[573,2373,946],{"className":2374},[750],[564,2376,2377,2378,1913,2429,2548,2549,2600,2601,776],{},"Probe mit ",[573,2379,2381,2399],{"className":2380},[576],[573,2382,2384],{"className":2383},[580],[582,2385,2386],{"xmlns":584},[586,2387,2388,2396],{},[589,2389,2390,2392,2394],{},[723,2391,725],{},[592,2393,1871],{},[732,2395,2170],{},[596,2397,2398],{"encoding":598},"x = 4",[573,2400,2402,2420],{"className":2401,"ariaHidden":603},[602],[573,2403,2405,2408,2411,2414,2417],{"className":2404},[607],[573,2406],{"className":2407,"style":1888},[611],[573,2409,725],{"className":2410},[750,751],[573,2412],{"className":2413,"style":756},[755],[573,2415,1871],{"className":2416},[616],[573,2418],{"className":2419,"style":756},[755],[573,2421,2423,2426],{"className":2422},[607],[573,2424],{"className":2425,"style":978},[611],[573,2427,2170],{"className":2428},[750],[573,2430,2432,2464],{"className":2431},[576],[573,2433,2435],{"className":2434},[580],[582,2436,2437],{"xmlns":584},[586,2438,2439,2461],{},[589,2440,2441,2443,2445,2447,2449,2451,2453,2456,2458],{},[732,2442,734],{},[592,2444,1932],{},[732,2446,2170],{},[592,2448,730],{},[732,2450,999],{},[592,2452,1871],{},[732,2454,2455],{},"7",[592,2457,661],{},[732,2459,2460],{},"8",[596,2462,2463],{"encoding":598},"2 \\cdot 4 - 1 = 7 \\leq 8",[573,2465,2467,2485,2503,2521,2539],{"className":2466,"ariaHidden":603},[602],[573,2468,2470,2473,2476,2479,2482],{"className":2469},[607],[573,2471],{"className":2472,"style":978},[611],[573,2474,734],{"className":2475},[750],[573,2477],{"className":2478,"style":1502},[755],[573,2480,1932],{"className":2481},[1506],[573,2483],{"className":2484,"style":1502},[755],[573,2486,2488,2491,2494,2497,2500],{"className":2487},[607],[573,2489],{"className":2490,"style":769},[611],[573,2492,2170],{"className":2493},[750],[573,2495],{"className":2496,"style":1502},[755],[573,2498,730],{"className":2499},[1506],[573,2501],{"className":2502,"style":1502},[755],[573,2504,2506,2509,2512,2515,2518],{"className":2505},[607],[573,2507],{"className":2508,"style":978},[611],[573,2510,999],{"className":2511},[750],[573,2513],{"className":2514,"style":756},[755],[573,2516,1871],{"className":2517},[616],[573,2519],{"className":2520,"style":756},[755],[573,2522,2524,2527,2530,2533,2536],{"className":2523},[607],[573,2525],{"className":2526,"style":2228},[611],[573,2528,2455],{"className":2529},[750],[573,2531],{"className":2532,"style":756},[755],[573,2534,661],{"className":2535},[616],[573,2537],{"className":2538,"style":756},[755],[573,2540,2542,2545],{"className":2541},[607],[573,2543],{"className":2544,"style":978},[611],[573,2546,2460],{"className":2547},[750],", stimmt. Bei ",[573,2550,2552,2570],{"className":2551},[576],[573,2553,2555],{"className":2554},[580],[582,2556,2557],{"xmlns":584},[586,2558,2559,2567],{},[589,2560,2561,2563,2565],{},[723,2562,725],{},[592,2564,1871],{},[732,2566,946],{},[596,2568,2569],{"encoding":598},"x = 5",[573,2571,2573,2591],{"className":2572,"ariaHidden":603},[602],[573,2574,2576,2579,2582,2585,2588],{"className":2575},[607],[573,2577],{"className":2578,"style":1888},[611],[573,2580,725],{"className":2581},[750,751],[573,2583],{"className":2584,"style":756},[755],[573,2586,1871],{"className":2587},[616],[573,2589],{"className":2590,"style":756},[755],[573,2592,2594,2597],{"className":2593},[607],[573,2595],{"className":2596,"style":978},[611],[573,2598,946],{"className":2599},[750]," sind beide Seiten ",[573,2602,2604,2618],{"className":2603},[576],[573,2605,2607],{"className":2606},[580],[582,2608,2609],{"xmlns":584},[586,2610,2611,2616],{},[589,2612,2613],{},[732,2614,2615],{},"9",[596,2617,2615],{"encoding":598},[573,2619,2621],{"className":2620,"ariaHidden":603},[602],[573,2622,2624,2627],{"className":2623},[607],[573,2625],{"className":2626,"style":978},[611],[573,2628,2615],{"className":2629},[750],[564,2631,2632,2633,2684,2685,776],{},"Kehrwerte: ",[573,2634,2636,2654],{"className":2635},[576],[573,2637,2639],{"className":2638},[580],[582,2640,2641],{"xmlns":584},[586,2642,2643,2651],{},[589,2644,2645,2647,2649],{},[732,2646,734],{},[592,2648,594],{},[732,2650,2170],{},[596,2652,2653],{"encoding":598},"2 \u003C 4",[573,2655,2657,2675],{"className":2656,"ariaHidden":603},[602],[573,2658,2660,2663,2666,2669,2672],{"className":2659},[607],[573,2661],{"className":2662,"style":959},[611],[573,2664,734],{"className":2665},[750],[573,2667],{"className":2668,"style":756},[755],[573,2670,594],{"className":2671},[616],[573,2673],{"className":2674,"style":756},[755],[573,2676,2678,2681],{"className":2677},[607],[573,2679],{"className":2680,"style":978},[611],[573,2682,2170],{"className":2683},[750],", aber ",[573,2686,2688,2714],{"className":2687},[576],[573,2689,2691],{"className":2690},[580],[582,2692,2693],{"xmlns":584},[586,2694,2695,2711],{},[589,2696,2697,2703,2705],{},[1178,2698,2699,2701],{},[732,2700,999],{},[732,2702,734],{},[592,2704,632],{},[1178,2706,2707,2709],{},[732,2708,999],{},[732,2710,2170],{},[596,2712,2713],{"encoding":598},"\\frac{1}{2} > \\frac{1}{4}",[573,2715,2717,2800],{"className":2716,"ariaHidden":603},[602],[573,2718,2720,2723,2791,2794,2797],{"className":2719},[607],[573,2721],{"className":2722,"style":1204},[611],[573,2724,2726,2729,2788],{"className":2725},[750],[573,2727],{"className":2728},[1211,1212],[573,2730,2732],{"className":2731},[1178],[573,2733,2735,2780],{"className":2734},[1219,1220],[573,2736,2738,2777],{"className":2737},[1224],[573,2739,2741,2755,2763],{"className":2740,"style":1229},[1228],[573,2742,2743,2746],{"style":1232},[573,2744],{"className":2745,"style":1237},[1236],[573,2747,2749],{"className":2748},[1241,1242,1243,1244],[573,2750,2752],{"className":2751},[750,1244],[573,2753,734],{"className":2754},[750,1244],[573,2756,2757,2760],{"style":1253},[573,2758],{"className":2759,"style":1237},[1236],[573,2761],{"className":2762,"style":1261},[1260],[573,2764,2765,2768],{"style":1264},[573,2766],{"className":2767,"style":1237},[1236],[573,2769,2771],{"className":2770},[1241,1242,1243,1244],[573,2772,2774],{"className":2773},[750,1244],[573,2775,999],{"className":2776},[750,1244],[573,2778,1281],{"className":2779},[1280],[573,2781,2783],{"className":2782},[1224],[573,2784,2786],{"className":2785,"style":1288},[1228],[573,2787],{},[573,2789],{"className":2790},[1294,1212],[573,2792],{"className":2793,"style":756},[755],[573,2795,632],{"className":2796},[616],[573,2798],{"className":2799,"style":756},[755],[573,2801,2803,2806],{"className":2802},[607],[573,2804],{"className":2805,"style":1204},[611],[573,2807,2809,2812,2871],{"className":2808},[750],[573,2810],{"className":2811},[1211,1212],[573,2813,2815],{"className":2814},[1178],[573,2816,2818,2863],{"className":2817},[1219,1220],[573,2819,2821,2860],{"className":2820},[1224],[573,2822,2824,2838,2846],{"className":2823,"style":1229},[1228],[573,2825,2826,2829],{"style":1232},[573,2827],{"className":2828,"style":1237},[1236],[573,2830,2832],{"className":2831},[1241,1242,1243,1244],[573,2833,2835],{"className":2834},[750,1244],[573,2836,2170],{"className":2837},[750,1244],[573,2839,2840,2843],{"style":1253},[573,2841],{"className":2842,"style":1237},[1236],[573,2844],{"className":2845,"style":1261},[1260],[573,2847,2848,2851],{"style":1264},[573,2849],{"className":2850,"style":1237},[1236],[573,2852,2854],{"className":2853},[1241,1242,1243,1244],[573,2855,2857],{"className":2856},[750,1244],[573,2858,999],{"className":2859},[750,1244],[573,2861,1281],{"className":2862},[1280],[573,2864,2866],{"className":2865},[1224],[573,2867,2869],{"className":2868,"style":1288},[1228],[573,2870],{},[573,2872],{"className":2873},[1294,1212],[559,2875,2877],{"id":2876},"typische-fehler","Typische Fehler",[781,2879,2880,3056,3192],{},[784,2881,2882,2883,839,2944,2999,3000,776],{},"Beim Dividieren durch eine negative Zahl das Zeichen nicht umdrehen. Aus ",[573,2884,2886,2908],{"className":2885},[576],[573,2887,2889],{"className":2888},[580],[582,2890,2891],{"xmlns":584},[586,2892,2893,2905],{},[589,2894,2895,2897,2899,2901,2903],{},[592,2896,730],{},[732,2898,1403],{},[723,2900,725],{},[592,2902,632],{},[732,2904,1446],{},[596,2906,2907],{"encoding":598},"-3x > 6",[573,2909,2911,2935],{"className":2910,"ariaHidden":603},[602],[573,2912,2914,2917,2920,2923,2926,2929,2932],{"className":2913},[607],[573,2915],{"className":2916,"style":769},[611],[573,2918,730],{"className":2919},[750],[573,2921,1403],{"className":2922},[750],[573,2924,725],{"className":2925},[750,751],[573,2927],{"className":2928,"style":756},[755],[573,2930,632],{"className":2931},[616],[573,2933],{"className":2934,"style":756},[755],[573,2936,2938,2941],{"className":2937},[607],[573,2939],{"className":2940,"style":978},[611],[573,2942,1446],{"className":2943},[750],[573,2945,2947,2966],{"className":2946},[576],[573,2948,2950],{"className":2949},[580],[582,2951,2952],{"xmlns":584},[586,2953,2954,2964],{},[589,2955,2956,2958,2960,2962],{},[723,2957,725],{},[592,2959,594],{},[592,2961,730],{},[732,2963,734],{},[596,2965,737],{"encoding":598},[573,2967,2969,2987],{"className":2968,"ariaHidden":603},[602],[573,2970,2972,2975,2978,2981,2984],{"className":2971},[607],[573,2973],{"className":2974,"style":612},[611],[573,2976,725],{"className":2977},[750,751],[573,2979],{"className":2980,"style":756},[755],[573,2982,594],{"className":2983},[616],[573,2985],{"className":2986,"style":756},[755],[573,2988,2990,2993,2996],{"className":2989},[607],[573,2991],{"className":2992,"style":769},[611],[573,2994,730],{"className":2995},[750],[573,2997,734],{"className":2998},[750],", nicht ",[573,3001,3003,3023],{"className":3002},[576],[573,3004,3006],{"className":3005},[580],[582,3007,3008],{"xmlns":584},[586,3009,3010,3020],{},[589,3011,3012,3014,3016,3018],{},[723,3013,725],{},[592,3015,632],{},[592,3017,730],{},[732,3019,734],{},[596,3021,3022],{"encoding":598},"x > -2",[573,3024,3026,3044],{"className":3025,"ariaHidden":603},[602],[573,3027,3029,3032,3035,3038,3041],{"className":3028},[607],[573,3030],{"className":3031,"style":612},[611],[573,3033,725],{"className":3034},[750,751],[573,3036],{"className":3037,"style":756},[755],[573,3039,632],{"className":3040},[616],[573,3042],{"className":3043,"style":756},[755],[573,3045,3047,3050,3053],{"className":3046},[607],[573,3048],{"className":3049,"style":769},[611],[573,3051,730],{"className":3052},[750],[573,3054,734],{"className":3055},[750],[784,3057,3058,3059,3087,3088,3139,3140,3191],{},"Mit einem Term multiplizieren, dessen Vorzeichen man nicht kennt, z.B. mit ",[573,3060,3062,3075],{"className":3061},[576],[573,3063,3065],{"className":3064},[580],[582,3066,3067],{"xmlns":584},[586,3068,3069,3073],{},[589,3070,3071],{},[723,3072,725],{},[596,3074,725],{"encoding":598},[573,3076,3078],{"className":3077,"ariaHidden":603},[602],[573,3079,3081,3084],{"className":3080},[607],[573,3082],{"className":3083,"style":1888},[611],[573,3085,725],{"className":3086},[750,751],". Dann muss man Fälle unterscheiden (",[573,3089,3091,3109],{"className":3090},[576],[573,3092,3094],{"className":3093},[580],[582,3095,3096],{"xmlns":584},[586,3097,3098,3106],{},[589,3099,3100,3102,3104],{},[723,3101,725],{},[592,3103,632],{},[732,3105,1101],{},[596,3107,3108],{"encoding":598},"x > 0",[573,3110,3112,3130],{"className":3111,"ariaHidden":603},[602],[573,3113,3115,3118,3121,3124,3127],{"className":3114},[607],[573,3116],{"className":3117,"style":612},[611],[573,3119,725],{"className":3120},[750,751],[573,3122],{"className":3123,"style":756},[755],[573,3125,632],{"className":3126},[616],[573,3128],{"className":3129,"style":756},[755],[573,3131,3133,3136],{"className":3132},[607],[573,3134],{"className":3135,"style":978},[611],[573,3137,1101],{"className":3138},[750]," und ",[573,3141,3143,3161],{"className":3142},[576],[573,3144,3146],{"className":3145},[580],[582,3147,3148],{"xmlns":584},[586,3149,3150,3158],{},[589,3151,3152,3154,3156],{},[723,3153,725],{},[592,3155,594],{},[732,3157,1101],{},[596,3159,3160],{"encoding":598},"x \u003C 0",[573,3162,3164,3182],{"className":3163,"ariaHidden":603},[602],[573,3165,3167,3170,3173,3176,3179],{"className":3166},[607],[573,3168],{"className":3169,"style":612},[611],[573,3171,725],{"className":3172},[750,751],[573,3174],{"className":3175,"style":756},[755],[573,3177,594],{"className":3178},[616],[573,3180],{"className":3181,"style":756},[755],[573,3183,3185,3188],{"className":3184},[607],[573,3186],{"className":3187,"style":978},[611],[573,3189,1101],{"className":3190},[750],").",[784,3193,3194,3195,2684,3251,776],{},"Beide Seiten quadrieren, obwohl eine negativ sein kann: ",[573,3196,3198,3218],{"className":3197},[576],[573,3199,3201],{"className":3200},[580],[582,3202,3203],{"xmlns":584},[586,3204,3205,3215],{},[589,3206,3207,3209,3211,3213],{},[592,3208,730],{},[732,3210,1403],{},[592,3212,594],{},[732,3214,734],{},[596,3216,3217],{"encoding":598},"-3 \u003C 2",[573,3219,3221,3242],{"className":3220,"ariaHidden":603},[602],[573,3222,3224,3227,3230,3233,3236,3239],{"className":3223},[607],[573,3225],{"className":3226,"style":769},[611],[573,3228,730],{"className":3229},[750],[573,3231,1403],{"className":3232},[750],[573,3234],{"className":3235,"style":756},[755],[573,3237,594],{"className":3238},[616],[573,3240],{"className":3241,"style":756},[755],[573,3243,3245,3248],{"className":3244},[607],[573,3246],{"className":3247,"style":978},[611],[573,3249,734],{"className":3250},[750],[573,3252,3254,3287],{"className":3253},[576],[573,3255,3257],{"className":3256},[580],[582,3258,3259],{"xmlns":584},[586,3260,3261,3284],{},[589,3262,3263,3265,3267,3269,3276,3278,3280,3282],{},[592,3264,1460],{"stretchy":1424},[592,3266,730],{},[732,3268,1403],{},[3270,3271,3272,3274],"msup",{},[592,3273,1467],{"stretchy":1424},[732,3275,734],{},[592,3277,1871],{},[732,3279,2615],{},[592,3281,632],{},[732,3283,2170],{},[596,3285,3286],{"encoding":598},"(-3)^2 = 9 > 4",[573,3288,3290,3348,3366],{"className":3289,"ariaHidden":603},[602],[573,3291,3293,3297,3300,3303,3306,3339,3342,3345],{"className":3292},[607],[573,3294],{"className":3295,"style":3296},[611],"height:1.0641em;vertical-align:-0.25em;",[573,3298,1460],{"className":3299},[1211],[573,3301,730],{"className":3302},[750],[573,3304,1403],{"className":3305},[750],[573,3307,3309,3312],{"className":3308},[1294],[573,3310,1467],{"className":3311},[1294],[573,3313,3316],{"className":3314},[3315],"msupsub",[573,3317,3319],{"className":3318},[1219],[573,3320,3322],{"className":3321},[1224],[573,3323,3326],{"className":3324,"style":3325},[1228],"height:0.8141em;",[573,3327,3329,3333],{"style":3328},"top:-3.063em;margin-right:0.05em;",[573,3330],{"className":3331,"style":3332},[1236],"height:2.7em;",[573,3334,3336],{"className":3335},[1241,1242,1243,1244],[573,3337,734],{"className":3338},[750,1244],[573,3340],{"className":3341,"style":756},[755],[573,3343,1871],{"className":3344},[616],[573,3346],{"className":3347,"style":756},[755],[573,3349,3351,3354,3357,3360,3363],{"className":3350},[607],[573,3352],{"className":3353,"style":959},[611],[573,3355,2615],{"className":3356},[750],[573,3358],{"className":3359,"style":756},[755],[573,3361,632],{"className":3362},[616],[573,3364],{"className":3365,"style":756},[755],[573,3367,3369,3372],{"className":3368},[607],[573,3370],{"className":3371,"style":978},[611],[573,3373,2170],{"className":3374},[750],{"title":3376,"searchDepth":3377,"depth":3377,"links":3378},"",2,[3379,3380,3381],{"id":561,"depth":3377,"text":562},{"id":1380,"depth":3377,"text":1381},{"id":2876,"depth":3377,"text":2877},[3383,3386,3388,3391,3393,3395,3398,3400,3402,3405],{"lhs":3384,"rhs":3385},"b*c - a*c","(b - a)*c",{"lhs":3387,"rhs":1446},"11 - 5",{"lhs":3389,"rhs":3390},"6\u002F(-3)","-2",{"lhs":3392,"rhs":1415},"-3*(-2) + 5",{"lhs":3394,"rhs":1949},"-3*(-3) + 5",{"lhs":3396,"rhs":3397},"2*5 - 1","5 + 4",{"lhs":3399,"rhs":2455},"2*4 - 1",{"lhs":3401,"rhs":2460},"4 + 4",{"lhs":3403,"rhs":3404},"1\u002F2 - 1\u002F4","0.25",{"lhs":3406,"rhs":2615},"(-3)^2",null,"md","inequality-rules","a \u003C b \\;\\Rightarrow\\; \\begin{cases} a + c \u003C b + c \\\\ a \\cdot c \u003C b \\cdot c, & c > 0 \\\\ a \\cdot c > b \\cdot c, & c \u003C 0 \\end{cases}","\u003Cspan class=\"katex-display\">\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\" display=\"block\">\u003Csemantics>\u003Cmrow>\u003Cmi>a\u003C\u002Fmi>\u003Cmo>&lt;\u003C\u002Fmo>\u003Cmi>b\u003C\u002Fmi>\u003Cmtext>  \u003C\u002Fmtext>\u003Cmo>⇒\u003C\u002Fmo>\u003Cmtext>  \u003C\u002Fmtext>\u003Cmrow>\u003Cmo fence=\"true\">{\u003C\u002Fmo>\u003Cmtable rowspacing=\"0.36em\" columnalign=\"left left\" columnspacing=\"1em\">\u003Cmtr>\u003Cmtd>\u003Cmstyle scriptlevel=\"0\" displaystyle=\"false\">\u003Cmrow>\u003Cmi>a\u003C\u002Fmi>\u003Cmo>+\u003C\u002Fmo>\u003Cmi>c\u003C\u002Fmi>\u003Cmo>&lt;\u003C\u002Fmo>\u003Cmi>b\u003C\u002Fmi>\u003Cmo>+\u003C\u002Fmo>\u003Cmi>c\u003C\u002Fmi>\u003C\u002Fmrow>\u003C\u002Fmstyle>\u003C\u002Fmtd>\u003C\u002Fmtr>\u003Cmtr>\u003Cmtd>\u003Cmstyle scriptlevel=\"0\" displaystyle=\"false\">\u003Cmrow>\u003Cmi>a\u003C\u002Fmi>\u003Cmo>⋅\u003C\u002Fmo>\u003Cmi>c\u003C\u002Fmi>\u003Cmo>&lt;\u003C\u002Fmo>\u003Cmi>b\u003C\u002Fmi>\u003Cmo>⋅\u003C\u002Fmo>\u003Cmi>c\u003C\u002Fmi>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003C\u002Fmstyle>\u003C\u002Fmtd>\u003Cmtd>\u003Cmstyle scriptlevel=\"0\" displaystyle=\"false\">\u003Cmrow>\u003Cmi>c\u003C\u002Fmi>\u003Cmo>&gt;\u003C\u002Fmo>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmrow>\u003C\u002Fmstyle>\u003C\u002Fmtd>\u003C\u002Fmtr>\u003Cmtr>\u003Cmtd>\u003Cmstyle scriptlevel=\"0\" displaystyle=\"false\">\u003Cmrow>\u003Cmi>a\u003C\u002Fmi>\u003Cmo>⋅\u003C\u002Fmo>\u003Cmi>c\u003C\u002Fmi>\u003Cmo>&gt;\u003C\u002Fmo>\u003Cmi>b\u003C\u002Fmi>\u003Cmo>⋅\u003C\u002Fmo>\u003Cmi>c\u003C\u002Fmi>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003C\u002Fmstyle>\u003C\u002Fmtd>\u003Cmtd>\u003Cmstyle scriptlevel=\"0\" displaystyle=\"false\">\u003Cmrow>\u003Cmi>c\u003C\u002Fmi>\u003Cmo>&lt;\u003C\u002Fmo>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmrow>\u003C\u002Fmstyle>\u003C\u002Fmtd>\u003C\u002Fmtr>\u003C\u002Fmtable>\u003C\u002Fmrow>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">a &lt; b \\;\\Rightarrow\\; \\begin{cases} a + c &lt; b + c \\\\ a \\cdot c &lt; b \\cdot c, &amp; c &gt; 0 \\\\ a \\cdot c &gt; b \\cdot c, &amp; c &lt; 0 \\end{cases}\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.5782em;vertical-align:-0.0391em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">a\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">&lt;\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">b\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">⇒\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:4.32em;vertical-align:-1.91em;\">\u003C\u002Fspan>\u003Cspan class=\"minner\">\u003Cspan class=\"mopen\">\u003Cspan class=\"delimsizing mult\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:2.35em;\">\u003Cspan style=\"top:-2.2em;\">\u003Cspan class=\"pstrut\" style=\"height:3.15em;\">\u003C\u002Fspan>\u003Cspan class=\"delimsizinginner delim-size4\">\u003Cspan>⎩\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-2.192em;\">\u003Cspan class=\"pstrut\" style=\"height:3.15em;\">\u003C\u002Fspan>\u003Cspan style=\"height:0.316em;width:0.8889em;\">\u003Csvg xmlns=\"http:\u002F\u002Fwww.w3.org\u002F2000\u002Fsvg\" width=\"0.8889em\" height=\"0.316em\" style=\"width:0.8889em\" 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