Question

which number line best represents the solution to the problem below? -x - 8 ≤ 16

Explanation:

Step1: Isolate the variable term

Add 8 to both sides of the inequality $-x - 8\leq16$.
$-x-8 + 8\leq16 + 8$, which simplifies to $-x\leq24$.

Step2: Solve for x

Multiply both sides of the inequality $-x\leq24$ by - 1. When multiplying or dividing an inequality by a negative number, the direction of the inequality sign changes. So we get $x\geq - 24$.
On a number - line, the solution of $x\geq - 24$ is represented by a closed circle at - 24 (because the inequality includes equality, $\geq$) and an arrow pointing to the right.

Answer:

The number - line with a closed circle at - 24 and an arrow pointing to the right.