不等式4x-5小于3的解集(集合) 不等式4x-5<3的解集.用集合表示

\u4e0d\u7b49\u5f0f4x-5\uff1c3\u7684\u89e3\u96c6\u5982\u4f55\u7528\u96c6\u5408\u8868\u793a

{x|x\uff1c2}
\u5206\u6790\uff1a\u5148\u89e3\u4e0d\u7b49\u5f0f\uff0c\u518d\u5229\u7528\u63cf\u8ff0\u6cd5\u8868\u793a\u5176\u89e3\u96c6\u5373\u53ef\u3002
\u89e3\u7b54\uff1a \u89e3\uff1a\u75314x-5\uff1c3\u5f97\uff1ax\uff1c2\uff0c
\u7528\u63cf\u8ff0\u6cd5\u8868\u793a\u5176\u89e3\u96c6\u4e3a\uff1a{x|x\uff1c2}\u3002
\u8003\u70b9\uff1a\u5176\u4ed6\u4e0d\u7b49\u5f0f\u7684\u89e3\u6cd5
\u4e13\u9898\uff1a\u4e0d\u7b49\u5f0f\u7684\u89e3\u6cd5\u53ca\u5e94\u7528
\u70b9\u8bc4\uff1a\u672c\u9898\u8003\u67e5\u7528\u9002\u5f53\u7684\u65b9\u6cd5\u8868\u793a\u4e0d\u7b49\u5f0fax\uff1cb\uff08a\u22600\uff09\u7684\u89e3\u96c6\uff0c\u7740\u91cd\u8003\u67e5\u5bf9\u5217\u4e3e\u6cd5\u4e0e\u63cf\u8ff0\u6cd5\u7684\u7406\u89e3\u4e0e\u5e94\u7528\uff0c\u5c5e\u4e8e\u57fa\u7840\u9898\u3002
\u6269\u5c55\u8d44\u6599\u786e\u5b9a\u89e3\u96c6\uff1a
\u2460\u6bd4\u4e24\u4e2a\u503c\u90fd\u5927\uff0c\u5c31\u6bd4\u5927\u7684\u8fd8\u5927(\u540c\u5927\u53d6\u5927\uff09\uff1b
\u2461\u6bd4\u4e24\u4e2a\u503c\u90fd\u5c0f\uff0c\u5c31\u6bd4\u5c0f\u7684\u8fd8\u5c0f(\u540c\u5c0f\u53d6\u5c0f\uff09\uff1b
\u2462\u6bd4\u5927\u7684\u5927\uff0c\u6bd4\u5c0f\u7684\u5c0f\uff0c\u65e0\u89e3\uff08\u5927\u5927\u5c0f\u5c0f\u53d6\u4e0d\u4e86\uff09\uff1b
\u2463\u6bd4\u5c0f\u7684\u5927\uff0c\u6bd4\u5927\u7684\u5c0f\uff0c\u6709\u89e3\u5728\u4e2d\u95f4\uff08\u5c0f\u5927\u5927\u5c0f\u53d6\u4e2d\u95f4\uff09\u3002
\u4e09\u4e2a\u6216\u4e09\u4e2a\u4ee5\u4e0a\u4e0d\u7b49\u5f0f\u7ec4\u6210\u7684\u4e0d\u7b49\u5f0f\u7ec4\uff0c\u53ef\u4ee5\u7c7b\u63a8\u3002
\u5b9a\u7406\u53e3\u8bc0
\u89e3\u4e0d\u7b49\u5f0f\u7684\u9014\u5f84\uff0c\u5229\u7528\u51fd\u6570\u7684\u6027\u8d28\u3002\u5bf9\u6307\u65e0\u7406\u4e0d\u7b49\u5f0f\uff0c\u5316\u4e3a\u6709\u7406\u4e0d\u7b49\u5f0f\u3002
\u9ad8\u6b21\u5411\u7740\u4f4e\u6b21\u4ee3\uff0c\u6b65\u6b65\u8f6c\u5316\u8981\u7b49\u4ef7\u3002\u6570\u5f62\u4e4b\u95f4\u4e92\u8f6c\u5316\uff0c\u5e2e\u52a9\u89e3\u7b54\u4f5c\u7528\u5927\u3002
\u8bc1\u4e0d\u7b49\u5f0f\u7684\u65b9\u6cd5\uff0c\u5b9e\u6570\u6027\u8d28\u5a01\u529b\u5927\u3002\u6c42\u5dee\u4e0e0\u6bd4\u5927\u5c0f\uff0c\u4f5c\u5546\u548c1\u4e89\u9ad8\u4e0b\u3002
\u76f4\u63a5\u56f0\u96be\u5206\u6790\u597d\uff0c\u601d\u8def\u6e05\u6670\u7efc\u5408\u6cd5\u3002\u975e\u8d1f\u5e38\u7528\u57fa\u672c\u5f0f\uff0c\u6b63\u9762\u96be\u5219\u53cd\u8bc1\u6cd5\u3002
\u8fd8\u6709\u91cd\u8981\u4e0d\u7b49\u5f0f\uff0c\u4ee5\u53ca\u6570\u5b66\u5f52\u7eb3\u6cd5\u3002\u56fe\u5f62\u51fd\u6570\u6765\u5e2e\u52a9\uff0c\u753b\u56fe\u3001\u5efa\u6a21\u3001\u6784\u9020\u6cd5\u3002
\u53c2\u8003\u8d44\u6599\uff1a\u767e\u5ea6\u767e\u79d1\u2014\u2014\u4e0d\u7b49\u5f0f

{x|x\uff1c2}
\u5206\u6790\uff1a\u5148\u89e3\u4e0d\u7b49\u5f0f\uff0c\u518d\u5229\u7528\u63cf\u8ff0\u6cd5\u8868\u793a\u5176\u89e3\u96c6\u5373\u53ef\u3002
\u89e3\u7b54\uff1a \u89e3\uff1a\u75314x-5\uff1c3\u5f97\uff1ax\uff1c2\uff0c\u7528\u63cf\u8ff0\u6cd5\u8868\u793a\u5176\u89e3\u96c6\u4e3a\uff1a{x|x\uff1c2}\u3002
\u901a\u5e38\u4e0d\u7b49\u5f0f\u4e2d\u7684\u6570\u662f\u5b9e\u6570\uff0c\u5b57\u6bcd\u4e5f\u4ee3\u8868\u5b9e\u6570\uff0c\u4e0d\u7b49\u5f0f\u7684\u4e00\u822c\u5f62\u5f0f\u4e3aF(x\uff0cy\uff0c\u2026\u2026\uff0cz)\u2264G(x\uff0cy\uff0c\u2026\u2026\uff0cz )\uff08\u5176\u4e2d\u4e0d\u7b49\u53f7\u4e5f\u53ef\u4ee5\u4e3a \u4e2d\u67d0\u4e00\u4e2a\uff09\uff0c\u4e24\u8fb9\u7684\u89e3\u6790\u5f0f\u7684\u516c\u5171\u5b9a\u4e49\u57df\u79f0\u4e3a\u4e0d\u7b49\u5f0f\u7684\u5b9a\u4e49\u57df\uff0c\u4e0d\u7b49\u5f0f\u65e2\u53ef\u4ee5\u8868\u8fbe\u4e00\u4e2a\u547d\u9898\uff0c\u4e5f\u53ef\u4ee5\u8868\u793a\u4e00\u4e2a\u95ee\u9898\u3002
\u6269\u5c55\u8d44\u6599\uff1a
\u4e0d\u7b49\u5f0f\u4e24\u8fb9\u76f8\u52a0\u6216\u76f8\u51cf\u540c\u4e00\u4e2a\u6570\u6216\u5f0f\u5b50\uff0c\u4e0d\u7b49\u53f7\u7684\u65b9\u5411\u4e0d\u53d8\u3002\uff08\u79fb\u9879\u8981\u53d8\u53f7\uff09
\u4e0d\u7b49\u5f0f\u4e24\u8fb9\u76f8\u4e58\u6216\u76f8\u9664\u540c\u4e00\u4e2a\u6b63\u6570\uff0c\u4e0d\u7b49\u53f7\u7684\u65b9\u5411\u4e0d\u53d8\u3002\uff08\u76f8\u5f53\u7cfb\u6570\u53161\uff0c\u8fd9\u662f\u5f97\u6b63\u6570\u624d\u80fd\u4f7f\u7528\uff09
\u4e0d\u7b49\u5f0f\u4e24\u8fb9\u4e58\u6216\u9664\u4ee5\u540c\u4e00\u4e2a\u8d1f\u6570\uff0c\u4e0d\u7b49\u53f7\u7684\u65b9\u5411\u6539\u53d8\u3002\uff08\u00f7\u6216\u00d71\u4e2a\u8d1f\u6570\u7684\u65f6\u5019\u8981\u53d8\u53f7\uff09
1\u3001\u4e0d\u7b49\u5f0fF\uff08x\uff09F\uff08x\uff09\u540c\u89e3\u3002
2\u3001\u5982\u679c\u4e0d\u7b49\u5f0fF\uff08x\uff09 < G\uff08x\uff09\u7684\u5b9a\u4e49\u57df\u88ab\u89e3\u6790\u5f0fH\uff08 x \uff09\u7684\u5b9a\u4e49\u57df\u6240\u5305\u542b\uff0c\u90a3\u4e48\u4e0d\u7b49\u5f0f F\uff08x\uff09<G\uff08x\uff09\u4e0e\u4e0d\u7b49\u5f0fF\uff08x\uff09+H\uff08x\uff09<G\uff08x\uff09+H\uff08x\uff09\u540c\u89e3\u3002
3\u3001\u5982\u679c\u4e0d\u7b49\u5f0fF\uff08x\uff090\uff0c\u90a3\u4e48\u4e0d\u7b49\u5f0fF(x)H\uff08x\uff09G\uff08x\uff09\u540c\u89e3\u3002
4\u3001\u4e0d\u7b49\u5f0fF\uff08x\uff09G\uff08x\uff09>0\u4e0e\u4e0d\u7b49\u5f0f\u540c\u89e3\uff1b\u4e0d\u7b49\u5f0fF\uff08x\uff09G\uff08x\uff09<0\u4e0e\u4e0d\u7b49\u5f0f\u540c\u89e3\u3002
\u53c2\u8003\u8d44\u6599\u6765\u6e90\uff1a\u767e\u5ea6\u767e\u79d1\u2014\u2014\u4e0d\u7b49\u5f0f

4x-5<3 x<2 集合为{x|x<2,x属于R}

求采纳

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    绛旓細鍒嗘瀽锛氬厛瑙涓嶇瓑寮锛屽啀鍒╃敤鎻忚堪娉曡〃绀哄叾瑙i泦鍗冲彲銆傝В绛旓細 瑙o細鐢4x-5锛3寰楋細x锛2锛岀敤鎻忚堪娉曡〃绀哄叾瑙i泦涓猴細{x|x锛2}銆傝冪偣锛氬叾浠栦笉绛夊紡鐨勮В娉 涓撻锛氫笉绛夊紡鐨勮В娉曞強搴旂敤 鐐硅瘎锛氭湰棰樿冩煡鐢ㄩ傚綋鐨勬柟娉曡〃绀轰笉绛夊紡ax锛渂锛坅鈮0锛鐨勮В闆锛岀潃閲嶈冩煡瀵瑰垪涓炬硶涓庢弿杩版硶鐨勭悊瑙d笌搴旂敤锛屽睘浜庡熀纭棰樸
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    绛旓細绉婚」寰楋紝4x锛5+3锛屽悎骞跺悓绫婚」寰楋紝4x锛8锛岀郴鏁板寲涓1寰楋紝x锛2锛庢晠鍘涓嶇瓑寮忕殑瑙i泦涓猴紙-鈭烇紝2锛夛紝鏁呴夛細D
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