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How many integers $x$ satisfy | $2 x - 5$ | ≤ 7?

Competition practiceAlgebra

A8
B7
C6
D14

Step-by-Step Solution

−7 ≤

2 x - 5

≤ 7 gives −2 ≤

2 x

≤ 12, i.e. −1 ≤

x

≤ 6: the integers −1, 0, 1, …, 6 — that is 8 of them.

Answer: A) 8

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