Question

solve for s and graph the solution. 2 ≤ |s - 10| 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: Split absolute - value inequality

We know that if $2\leq|s - 10|$, then $s-10\geq2$ or $s - 10\leq - 2$.

Step2: Solve $s-10\geq2$

Add 10 to both sides: $s-10 + 10\geq2+10$, so $s\geq12$.

Step3: Solve $s - 10\leq - 2$

Add 10 to both sides: $s-10 + 10\leq-2 + 10$, so $s\leq8$.

Answer:

The solution is $s\leq8$ or $s\geq12$. On the number - line, you would click an arrowhead at 8 (with a filled - in circle since the inequality is $\leq$) and draw an arrow to the left, and click an arrowhead at 12 (with a filled - in circle since the inequality is $\geq$) and draw an arrow to the right.