Question

Multiple Equations or Inequalities Quick Check
4 of 54 of 5 Items



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
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
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

Answer 1

The description of the number line indicates that there is a solid line extending between negative 8 and negative 2, with open points plotted at negative 8 and negative 2. This means that the solution set includes all numbers greater than negative 8 and less than negative 2, but does not include the endpoints themselves.

This corresponds to the inequality:

**x > -8 and x < -2**

Therefore, the correct answer is:

**x > -8 and x < -2**