Question

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-or-equal-to negative 8 or x less-than-or-equal-to negative 2

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

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

Answer 1

Based on your description of the number line, where there are open points at negative 8 and negative 2 with a solid line extending between them, the solution set represents all values of \( x \) between \( -8 \) and \( -2 \), not including the endpoints.

This can be interpreted mathematically as:

\[
-8 < x < -2
\]

From the options provided, the closest correct answer would be:

**x > −8 and x < −2**

This means that the solution set includes all values greater than -8 and less than -2.