Question

solve for y and graph the solution.
2 > |y - 86|
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.
←
78 79 80 81 82 83 84 85 86
submit

Explanation:

Step1: Rewrite absolute - value inequality

The inequality \(2>|y - 86|\) can be rewritten as \(- 20\)), then \(-b < a < b\).

Step2: Solve the compound inequality

Add 86 to all parts of \(-2

Answer:

The solution for \(y\) is \(84