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 negative 3 and x greater than 3

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

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

x<−3 or x>3

Answer 1

The solution set represented by the number line graph, which has an open point at -3 with a solid line extending left and an open point at 3 with a solid line extending right, represents the inequalities where \( x < -3 \) or \( x > 3 \).

Thus, the correct answer is:

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