Use the image to answer the question.

A number line ranges from negative 10 to 2 in increments of 1. Two open points are plotted at negative 8 and negative 2, with a solid line extending between them.

Select the solution set represented on the graph.

(1 point)
Responses

x>−8 or x<−2
x greater than negative 8 or x less than negative 2

x≥−8 and x≤−2
x greater-than-or-equal-to negative 8 and x less-than-or-equal-to negative 2

x≥−8 or x≤−2
x greater-than-or-equal-to negative 8 or x less-than-or-equal-to negative 2

x>−8 and x<−2

1 answer

The graph described has open points at negative 8 and negative 2 with a solid line extending between them. This indicates that the solution set includes all values of \( x \) that are greater than negative 8 and less than negative 2, but not including negative 8 and negative 2 themselves.

Thus, the correct representation of the solution set is:

x > −8 and x < −2

So the answer is:

x>−8 and x<−2 (x greater than negative 8 and x less than negative 2)