Answer
$x\leq-3$
Work Step by Step
$-7x-15\geq 6\qquad$ ...add $-15$ to each side.
$-7x-15+15\geq 6+15\qquad$ ...simplify.
$-7x\geq 21\qquad$ ...divide each part of the inequality with $(-7)$.
...dividing with a negative inverts the inequality sign.
$x\leq-3$