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歡迎您訪問數學考題練習:解不等式(組)(1)7x-2≥5x+2;   !

數學考題練習:解不等式(組)(1)7x-2≥5x+2;   

更新時間:2024-01-12 16:45:09作者:貝語網校

解不等式(組)

(1)7x-2≥5x+2;

(2).

試題答案

解:(1)移項得:7x-5x≥2+2,

合并得:2x≥4,

解得:x≥2;

(2),

由①解得:x>-;

由②去分母得:2(2x+1)-3(1-x)<6,

去括號得:4x+2-3+3x<6,

移項合并得:7x<7,

解得:x<1,

則不等式組的解集為-<x<1.

試題解析

(1)移項合并,將x系數化為1,即可求出解集;

(2)分別求出不等式組中兩不等式的解集,利用取解集的方法即可得到不等式組的解集.

點評:此題考查了解一元一次不等式及不等式組,熟練掌握不等式組取解集的方法是解本題的關鍵.

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