Question

graph.

choose 1 answer:
a ( x < 5 )
b ( x leq 5 )
c ( x > 5 )
d ( x geq 5 )

Explanation:

Step1: Analyze the number line graph

The number line has a closed dot at 5, which means 5 is included in the solution set. The line is shaded to the left of 5 (including 5), indicating all values less than or equal to 5.

Step2: Match with the inequality options

• Option A ($x < 5$) does not include 5, so it's incorrect.
• Option B ($x \leq 5$) includes 5 and all values less than 5, which matches the graph.
• Option C ($x > 5$) is shaded to the right of 5, which is incorrect.
• Option D ($x \geq 5$) is shaded to the right of 5 (including 5), which is incorrect.

Answer:

B. \( x \leq 5 \)