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 $(-∞,-26]$.