Which of the following inequalities is an algebraic expression for the shaded pa

游客2025-02-23 72

问题 Which of the following inequalities is an algebraic expression for the shaded part of the number line above?

选项 A、|x-1|≤3
B、|x|≤4
C、|x-1|≥3
D、|x-1|≤4
E、|x+1|≤3

答案 C

解析由数轴我们知道x≥4 or x≤-2，选项A，B是不等式≤，明显就不对；对于选项C来说，|x-1|≥3，得到x-1≥3 or x-1≤-3，恰好是x≥4 or x≤-2，所以答案为C。

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