Question

graph the compound inequality on the number line. x≤5 or x≥8

Explanation:

Step1: Mark the point for $x\leq5$

On the number - line, put a closed circle at $x = 5$ (since the inequality includes equality) and shade the line to the left of 5 to represent all values of $x$ that are less than or equal to 5.

Step2: Mark the point for $x\geq8$

On the number - line, put a closed circle at $x = 8$ (since the inequality includes equality) and shade the line to the right of 8 to represent all values of $x$ that are greater than or equal to 8.

Answer:

The number - line has a closed circle at 5 with shading to the left and a closed circle at 8 with shading to the right.