Questions: 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)

Transcript text: The solution to an absolute value inequality is shown on the graph below. What is another way to show the solution? $x>-3$ or $x<2$ $\{x \mid x<-3$ or $x<2\}$ $[-3,2]$ $(-3,2)$

Solution

Solution Steps

Step 1: Analyze the graph

The graph shows values less than 2 and greater than -3, with open circles at 2 and -3. This means the values 2 and -3 are not included in the solution.

Step 2: Convert the graph to inequality notation

The graph represents all _x_ values less than 2 or greater than -3. This is written as _x_ < 2 or _x_ > -3.

Step 3: Compare with answer choices

The first option, _x_ > -3 or _x_ < 2, correctly describes the graph.