Question

choose the inequality that represents the following graph.
(number line graph with an open circle at 5 and blue line pointing left)
choose 1 answer:
a ( x < 5 )
b ( x leq 5 )
c ( x > 5 )
d ( x geq 5 )

Explanation:

Step1: Analyze the graph's endpoint

The graph has an open circle at 5, so 5 is not included. Open circles mean the inequality is strict (no "or equal to").

Step2: Analyze the direction of the line

The line is shaded to the left of 5, which means we're looking for values less than 5. So the inequality should be \( x < 5 \).

Answer:

A. \( x < 5 \)