Question

Use the image to answer the question.

A number line ranges from negative 5 to 5 in increments of 1. An open point is plotted at 3, with a solid line extending right, beyond 5. An open point is plotted at negative 3, with a solid line extending left, beyond negative 5.

What solution set does the number line graph?

(1 point)
Responses

x≤−3 or x≥−3
x less-than-or-equal-to negative 3 or x greater-than-or-equal-to negative 3

x<−3 and x>3
x less than negative 3 and x greater than 3

x<−3 or x>3
x less than negative 3 or x greater than 3

x≤−3 and x≥−3

Answer 1

The number line described has an open point plotted at -3, which indicates that -3 is not included in the solution set. The solid line extending left from -3 means that all values less than -3 are included.

Similarly, there is an open point at 3, indicating that 3 is not included in the solution set, and the solid line extending to the right means that all values greater than 3 are included.

Therefore, the correct interpretation of the number line is that the solution set is:

**x < -3 or x > 3**

This corresponds to the third option:

**x<−3 or x>3**

So, the answer is: **x < −3 or x > 3**.