Решите неравенство, изобразите множество его решений на координатной прямой, запишите ответ в виде числового проежутка:
а) 5,6 +7х ≥0
б) 9х - 17<0,6х - 3
в) 11(3-х) ≤ -2(х+4)
г) 7 - 4х / 15 < - 3
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Answers & Comments
а)![5,6 +7x\geq 0\\7x\geq-5,6\\x\leq-0,8\\x(-\infty;-0,8] 5,6 +7x\geq 0\\7x\geq-5,6\\x\leq-0,8\\x(-\infty;-0,8]](https://tex.z-dn.net/?f=5%2C6%20%2B7x%5Cgeq%200%5C%5C7x%5Cgeq-5%2C6%5C%5Cx%5Cleq-0%2C8%5C%5Cx%28-%5Cinfty%3B-0%2C8%5D)
б)
в)![11(3-x)\leq -2(x+4)\\33-11x\leq-2x-8\\-11x+2x\leq-8-33\\-9x\leq-41\\x\leq4\frac{5}{9}\\x(-\infty;4\frac{5}{9}] 11(3-x)\leq -2(x+4)\\33-11x\leq-2x-8\\-11x+2x\leq-8-33\\-9x\leq-41\\x\leq4\frac{5}{9}\\x(-\infty;4\frac{5}{9}]](https://tex.z-dn.net/?f=11%283-x%29%5Cleq%20-2%28x%2B4%29%5C%5C33-11x%5Cleq-2x-8%5C%5C-11x%2B2x%5Cleq-8-33%5C%5C-9x%5Cleq-41%5C%5Cx%5Cleq4%5Cfrac%7B5%7D%7B9%7D%5C%5Cx%28-%5Cinfty%3B4%5Cfrac%7B5%7D%7B9%7D%5D)
г)