题目内容
15.解不等式组$\left\{\begin{array}{l}{5x-2<3x+4}\\{x+18≥-3x}\end{array}\right.$.分析 分别求出各个不等式的解集,再求出这些解集的公共部分.
解答 解:$\left\{\begin{array}{l}{5x-2<3x+4(1)}\\{x+18≥-3x(2)}\end{array}\right.$.
解不等式(1)得,x<3,
解不等式(2)得,x≥-2,
则原不等式的解集为:-2≤x<3.
点评 本题考查不等式组的解法.求不等式组的解集应遵循以下原则:同大取较大,同小取较小,小大大小中间找,大大小小解不了.
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