Question

solve for u and graph the solution.
|u + 60| ≤ 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: Remove absolute - value

We know that if \(|x|\leq a\) (\(a\geq0\)), then \(-a\leq x\leq a\). So for \(|u + 60|\leq10\), we have \(- 10\leq u+60\leq10\).

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

Subtract 60 from all parts of the inequality: \(-10-60\leq u+60 - 60\leq10 - 60\).
\(-70\leq u\leq - 50\)

Answer:

The solution of the inequality is \(-70\leq u\leq - 50\). To graph it, click on the points \(-70\) and \(-50\) on the number - line and the endpoints should be filled - in circles to represent the inclusive inequality (\(\leq\)).