x取哪些整数值时,不等式5x+2>3(x-1)与12x-1<5-32x都成立

x取哪些整数值时,不等式5x+2>3(x-1)与12x-1<5-32x都成立?
2025-05-18 05:24:30
推荐回答(1个)
回答1:

根据题意解不等式组

5x+2>3(x?1)
1
2
x?1<5?
3
2
x

-
5
2
<x<3.
故x取整数-2,-1,0,1,2,时,不等式5x+2>3(x-1)与
1
2
x-1<5-
3
2
x都成立.