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 left endpoint is an open circle at 6, so \( x > 6 \). The right endpoint is an open circle at 7, so \( x < 7 \).

Step2: Form the compound inequality

Since the line is between 6 and 7 (open circles), we use "and" to combine the two inequalities. So the compound inequality is \( 6 < x < 7 \).

Answer:

\( 6 < x < 7 \)