Use the image to answer the question.

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

x≥−8 or x≤−2

Answer 1

The solution set represented on the graph, with open points at negative 8 and negative 2 and a solid line extending between them, corresponds to the condition where \( x \) is greater than negative 8 and less than negative 2. This is because open points indicate that those specific values are not included in the solution.

Therefore, the correct answer is:

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