The solution set of which of the following inequalities is graphed on the number line shown?

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问题

The solution set of which of the following inequalities is graphed on the number line shown?

选项 A、|x|≤12
B、2≤|x|≤12
C、|x-2|≤10
D、|x+7|≤5
E、|x-7|≤5

答案D

解析把不等式直接表示在数轴上。如|x-a|≤b表示中心为a，线段两端到a的距离都为b。题图中线段中心为-7，线段两端到中心距离为5，故不等式为|x+7|≤5。故答案为D。

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