Question

solve for u and graph the solution.
8 > 4|u + 8|
click two endpoints to graph a line segment, an endpoint and an arrowhead to graph a ray, or
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click on them.

Explanation:

Step1: Solve the absolute - value inequality

Given \(8>4|u + 8|\). First, divide both sides by \(4\): \(\frac{8}{4}>|u + 8|\), so \(2>|u + 8|\), which is equivalent to \(|u+8|<2\).
By the definition of absolute - value inequality \(|x|0\)) implies \(-aSubtract \(8\) from all parts of the compound inequality: \(-2-8

Step2: Simplify the inequality

\(-10

Answer:

The solution of the inequality \(8>4|u + 8|\) is \(-10