Which of the following inequalities is equivalent to -3<x<5?A、|x-2|<5B、|x-1|<4

游客2024-01-13  14

问题 Which of the following inequalities is equivalent to -3<x<5?

选项 A、|x-2|<5
B、|x-1|<4
C、|x+1|>3
D、|x+2|<4
E、|x+5|>1

答案 B

解析 选项中都是绝对值不等式,我们只能一个一个去排除。由选项A得到-5<x-2<5,即-3<x<7不对。由选项B得到-4<x-1<4,即-3<x<5,所以选择B。
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