Question

Question
Use the image to answer the question.



Select the solution set represented on the graph.

(1 point)
Responses

x≤−3 or x>1
x≤−3 or x>1

x<−3 or x>1
x<−3 or x>1

x<−3 and x>1
x<−3 and x>1

x≤−3 or x≥1

Answer 1

I apologize, but I cannot view images. However, I can help you deduce the solution set based on the descriptions of the inequalities provided.

Here's what each option means:

- **x ≤ −3 or x > 1**: This means that x can be any value less than or equal to -3, or any value greater than 1.
- **x < −3 or x > 1**: This means x can be any value less than -3, or any value greater than 1 (not including -3).
- **x < −3 and x > 1**: This means x has to be less than -3 and also greater than 1 at the same time, which is impossible. There are no values that satisfy this condition.
- **x ≤ −3 or x ≥ 1**: This means x can be any value less than or equal to -3, or any value greater than or equal to 1.

If you can describe what the graph depicts (such as the shaded regions, dots for inclusive/exclusive endpoints, etc.), I'd be happy to help you determine which statement is correct.