Question

what compound inequality describes this graph?
-8 < x < -4
x < -8 or x > -4
x < -8 or x ≥ -4
-8 < x ≤ -4

Explanation:

Step1: Analyze the graph's endpoints

The graph has an open circle at -8 and an open circle at -4. Open circles mean the endpoints are not included.

Step2: Analyze the direction of the line

The line is between -8 and -4, so x is greater than -8 (since open at -8, \( x > -8 \)) and less than -4 (open at -4, \( x < -4 \)). So the compound inequality is \( -8 < x < -4 \).

Answer:

\( -8 < x < -4 \) (corresponding to the option with this inequality)