Answer
$9 < x$ or $-5>x$
Please see the graph.
Work Step by Step
$11 \leq abs(x-2)+4$
$11-4 \leq abs(x-2)+4-4$
$7 \leq abs(x-2)$
$7 < x-2$
$-7 > x-2$
$7 < x-2$
$7+2 < x-2+2$
$9 < x$
$-7 > x-2$
$-7+2 > x-2+2$
$-5 > x$
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