Answer
$\{x|\frac{1}{2}\le x \lt \frac{5}{4}\}$
see graph.
Work Step by Step
Multiply 12 to each side,
$6\le 4x+4 \lt 9$
$2\le 4x \lt 5$
thus $\{x|\frac{1}{2}\le x \lt \frac{5}{4}\}$
see graph.
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