Question

Multiple Equations or Inequalities Quick Check
3 of 53 of 5 Items
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
and x≥−3
x less-than-or-equal-to negative 3 and 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
or x≥−3

Answer 1

The number line described has an open point at -3 with a solid line extending left beyond -5, indicating that all values to the left of -3 (but not including -3 itself) are part of the solution set. The open point at 3, with a solid line extending right beyond 5, indicates that all values to the right of 3 (but not including 3 itself) are part of the solution set.

This means the solution set includes all numbers less than -3 or greater than 3, which is expressed as:

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

So, the correct response is:

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