Question

what compound inequality describes this graph?
write a compound inequality like 1 < x < 3 or like x < 1 or x > 3.

Explanation:

Step1: Analyze the graph's endpoints

The graph has closed circles at -3 and -1, meaning the values -3 and -1 are included.

Step2: Determine the direction of the line

The line is between -3 and -1, so x is greater than or equal to -3 and less than or equal to -1.

Step3: Write the compound inequality

Using the "and" connector (since it's a single segment between two points), the inequality is $-3 \leq x \leq -1$.

Answer:

$-3 \leq x \leq -1$