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 left part of the graph

The left part of the number line has an open circle at -952 and the line goes to the left (towards more negative numbers). An open circle means the value is not included, so the inequality for this part is \( x < -952 \).

Step2: Analyze the right part of the graph

The right part of the number line has a closed (filled) circle at -948 and the line goes to the right (towards more positive numbers). A closed circle means the value is included, so the inequality for this part is \( x \geq -948 \).

Step3: Combine the two inequalities

Since the graph shows two separate regions (left of -952 and right of/including -948), we use the "or" connector to combine them. So the compound inequality is \( x < -952 \) or \( x \geq -948 \).

Answer:

\( x < -952 \) or \( x \geq -948 \)