Question

plot the endpoints. select an endpoint to change it from closed to open. select the middle of a segment, ray, or line to delete it. -76 < x ≤ -74

Explanation:

Step1: Analyze the inequality

The inequality is \(-76 < x\leq -74\). For \(x > - 76\), we use an open - circle at \(-76\) (because the value \(-76\) is not included in the solution set). For \(x\leq -74\), we use a closed - circle at \(-74\) (because the value \(-74\) is included in the solution set).

Step2: Draw the graph

We draw a number line. Place an open - circle at \(-76\) and a closed - circle at \(-74\). Then connect the two points with a line segment.

Answer:

Plot an open - circle at \(-76\) and a closed - circle at \(-74\), then connect them with a line segment.