Question

choose the inequality that represents the following graph.
choose 1 answer:
a ( x < -3 )
b ( x leq -3 )
c ( x > -3 )
d ( x geq -3 )

Explanation:

Step1: Analyze the graph's endpoint

The graph has a closed dot at -3, which means -3 is included in the solution set.

Step2: Analyze the direction of the arrow

The arrow points to the left, indicating values less than or equal to -3.

Step3: Match with the inequalities

• Option A: \(x < -3\) (open dot, -3 not included) – incorrect.
• Option B: \(x \leq -3\) (closed dot, includes -3, arrow left) – correct.
• Option C: \(x > -3\) (arrow right) – incorrect.
• Option D: \(x \geq -3\) (arrow right) – incorrect.

Answer:

B. \(x \leq -3\)