Question

what inequality does the number line show? x < 7 x ≤ 7 x ≥ 7 x > 7

Explanation:

Step1: Analyze the number line

The number line has a closed dot at 7 (which means 7 is included) and the arrow is pointing to the left (which means values less than or equal to 7 are included).

Step2: Match with the inequalities

• \(x < 7\) would have an open dot at 7.
• \(x \leq 7\) has a closed dot at 7 and includes values less than or equal to 7.
• \(x \geq 7\) would have a closed dot at 7 but the arrow pointing to the right.
• \(x > 7\) would have an open dot at 7 and the arrow pointing to the right.

Answer:

\(x \leq 7\) (or the option with \(x \leq 7\) text)