Question

question 21
write an inequality that represents the graph.

Explanation:

Step1: Analyze the number line

The number line has open circles at -1 and 5, and the line is between them? Wait, no, wait. Wait, the open circle at -1 (so -1 is not included) and open circle at 5 (5 is not included), and the line is between? Wait, no, the arrows? Wait, no, the number line: let's see the points. The open circle at -1 (so \( x > -1 \) or \( x < -1 \)?) Wait, no, the open circle at -1 and open circle at 5. Wait, the number line: the left open circle is at -1, right open circle at 5. So the solution is between -1 and 5, not including -1 and 5. So the inequality is \( -1 < x < 5 \). Wait, let's check: open circle at -1 means \( x \) is greater than -1 (since open circle, not equal), open circle at 5 means \( x \) is less than 5. So the inequality is \( -1 < x < 5 \).

Step2: Confirm the inequality

Open circles indicate strict inequalities (not equal to the endpoints). The region between -1 and 5 (excluding -1 and 5) is represented by \( -1 < x < 5 \).

Answer:

\( -1 < x < 5 \)