Use the image to answer the question.

Question

A number line ranges from negative 10 to 10 in increments of 1. An open point is plotted at 1, with a solid line extending right, beyond 10. An open point is plotted at negative 3, with a solid line extending left, beyond negative 10.

Select the solution set represented on the graph.

(1 point)
Responses

x<−3
and x>1
x less than negative 3 and x greater than 1

x≤−3
or x>1
x less-than-or-equal-to negative 3 or x greater than 1

x<−3
or x>1
x less than negative 3 or x greater than 1

x≤−3
or x≥1

Answer 1

The graph described has an open point at 1 with a solid line extending to the right, indicating that x is greater than 1 (\(x > 1\)). It also has an open point at -3 with a solid line extending to the left, indicating that x is less than -3 (\(x < -3\)).

Therefore, the solution set represented on the graph is:

x < -3 or x > 1

So, the correct response is:

x < -3 or x > 1.