Question

graph the compound inequality on the number line. x < - 2 or x > 5

Explanation:

Step1: Mark - 2 on number line

Use an open - circle at $x=-2$ since the inequality is $x < - 2$ (not including - 2).

Step2: Shade left of - 2

Shade the part of the number line to the left of $x = - 2$ to represent all values of $x$ that satisfy $x < - 2$.

Step3: Mark 5 on number line

Use an open - circle at $x = 5$ since the inequality is $x>5$ (not including 5).

Step4: Shade right of 5

Shade the part of the number line to the right of $x = 5$ to represent all values of $x$ that satisfy $x>5$.

Answer:

On the number line, there is an open - circle at $x=-2$ with shading to the left of it, and an open - circle at $x = 5$ with shading to the right of it.