Question

choose the inequality that represents the following graph.

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

Explanation:

Step1: Analyze the graph's dot

The graph has an open dot at -1. An open dot means the point -1 is not included in the solution set.

Step2: Analyze the graph's direction

The arrow is pointing to the left, which means we are looking at values less than -1.

Step3: Match with the options

Option A is \( x < -1 \), which matches the open dot (not including -1) and the left - pointing arrow (values less than -1). Option B has a closed dot (includes -1) which is wrong. Option C is values greater than -1 (arrow should point right) which is wrong. Option D includes -1 and points right which is wrong.

Answer:

A. \( x < -1 \)