Question

choose the inequality that represents the following graph.

<image of number line with open circle at -1 and arrow to the left>

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

Explanation:

Step1: Analyze the graph's endpoint

The graph has an open circle at \( -1 \), which means \( -1 \) is not included in the solution set.

Step2: Analyze the direction of the line

The line is shaded to the left of \( -1 \), indicating values less than \( -1 \).

Step3: Match with the inequality

The inequality representing values less than \( -1 \) (with \( -1 \) not included) is \( x < -1 \), which corresponds to option A.

Answer:

A. \( x < -1 \)