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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