Question

what compound inequality describes this graph?
782 783 784 785 786 787 788 789 790 791
write a compound inequality like 1 < x < 3 or like x < 1 or x > 3.

Explanation:

Step1: Analyze the number line

The open circles at 784 and 789 mean the endpoints are not included. The red line is between 784 and 789, so \( x \) is greater than 784 and less than 789.

Step2: Write the compound inequality

Using the "and" connector (since \( x \) must satisfy both conditions), the inequality is \( 784 < x < 789 \).

Answer:

\( 784 < x < 789 \)