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

游客2025-02-27 27

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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