Answer
The greatest value of x is 6.
Work Step by Step
Given: $|2x-5| \leq 7$
$2x-5 \leq7$ or $2x-5 \geq -7$
$2x \leq 12$ or $2x \geq -2$
$x \leq6$ or $x \geq -1$
$-1 \leq x \leq 6$
The greatest value of x is 6.
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