write a compound inequality for the following graph. (simplify your answers. type integers or decimals)

Explanation:

Step1: Analyze the open - circles on the number line

The open - circle at (x = - 2) and (x=1) means these values are not included in the solution set.

Step2: Determine the direction of the shaded regions

The shaded region to the right of (x = 1) gives (x>1) and the shaded region to the left of (x=-2) gives (x < - 2).

Answer:

(x < - 2) or (x>1)