Answer
$(-∞,-26]$
Work Step by Step
We are given that $-x-17\geq9$.
To solve for x, first add 17 to both sides.
$-x\geq26$
Divide both sides by -1 (which will reverse the inequality sign).
$x\leq-26$
Therefore, the inequality will be satisfied for all values of x that are less than or equal to -26. In interval notation, the solution is $(-∞,-26]$.
