Question

solve for s and graph the solution. 30 ≥ |s + 500|. click two endpoints to graph a line - segment, an endpoint and an arrowhead to graph a ray, or two arrowheads to graph a line. to change endpoints from filled - in circles to empty circles, click on them.

Explanation:

Step1: Rewrite absolute - value inequality

The inequality $30\geq|s + 500|$ is equivalent to $- 30\leq s+500\leq30$.

Step2: Solve the left - hand side of the compound inequality

Subtract 500 from both sides of $-30\leq s + 500$: $-30-500\leq s$, so $s\geq - 530$.

Step3: Solve the right - hand side of the compound inequality

Subtract 500 from both sides of $s + 500\leq30$: $s\leq30 - 500$, so $s\leq - 470$.

Answer:

The solution is $-530\leq s\leq - 470$. On the number - line, you would click on the endpoints $-530$ and $-470$ and the line segment between them, with filled - in circles at both endpoints.