Question

what compound inequality describes this graph?
<---0---1---2---3---4---5---6---7---8---9---> (closed circles at 2 and 7, line between)
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 a closed dot at 2 and a closed dot at 7, meaning 2 and 7 are included. The line is between 2 and 7, so \( x \) is greater than or equal to 2 and less than or equal to 7.

Step2: Write the compound inequality

Using the symbols for "greater than or equal to" (\(\geq\)) and "less than or equal to" (\(\leq\)), the inequality is \( 2 \leq x \leq 7 \).

Answer:

\( 2 \leq x \leq 7 \)