Answer
$x\geq 9$
Work Step by Step
By subtracting 6 from both both sides of the inequality $6-4x\leq -30$ and then dividing by -4, we have
$$
6-4x\leq -30 \Longrightarrow -4x\leq -36\Longrightarrow x\geq 9
.$$
See the figure below.
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