Answer
$[-9,6]$
Work Step by Step
Step 1. From $|2x+3|\leq15$, we have $-15\leq 2x+3\leq15$ and $-18\leq 2x\leq12$, thus $-9\leq x\leq6$ and in interval notation $[-9,6]$.
Step 2. See graph for the interval on a number line.
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