Question

the solution to an absolute value inequality is shown on the graph below. what is another way to show the solution? x > -3 or x < 2 {x|x < -3 or x < 2} -3, 2 (-3, 2)

Explanation:

Step1: Analyze the graph

The graph shows an open - interval between - 3 and 2. Open circles at - 3 and 2 mean these points are not included in the solution set.

Step2: Recall interval notation

For an open - interval from \(a\) to \(b\) where \(a\) and \(b\) are not included, the interval notation is \((a,b)\). Here \(a=-3\) and \(b = 2\), so the interval notation is \((-3,2)\).

Answer:

D. \((-3,2)\)