Answer
{$x|x\leq-1$ or $x\geq6$}
Work Step by Step
We simplify as follows:
$2+|2x-5|\geq9$
$|2x-5|\geq7$
$2x-5\leq-7$ or $2x-5\geq7$
$2x\leq-2$ or $2x\geq12$
$x\leq-1$ or $x\geq6$
{$x|x\leq-1$ or $x\geq6$}
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