数学题︳x+3︳+︳x-2︳﹤7 求x的取值范围

问题描述:

数学题︳x+3︳+︳x-2︳﹤7 求x的取值范围

分区间讨论
x|x+3|+|x-2|
= -(x+3)-(x-2)
= -2x -1
==>
x>-4
==>
-4-3|x+3|+|x-2|
=(x+3)-(x-2)
=5
符合,所以,
-32|x+3|+|x-2|
=x+3+x-2
=2x+1
==>
x==>
2综合上面,
-4