Answer
$x\leq 6$
Work Step by Step
By subtracting 3 from both both sides of the inequality $3-2x\geq -9$ and then dividing by -2, we have
$$
3-2x\geq -9 \Longrightarrow -2x\geq -12\Longrightarrow x\leq 6
.$$
See the figure below.
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