Question

Use the image to answer the question.



Select the solution set represented on the graph.

(1 point)

Responses

x≤−3x≤−3 or x>1x>1

x less-than-or-equal-to negative 3  or  x greater than 1

x<−3x<−3 and x>1x>1

x less than negative 3  and  x greater than 1

x≤−3x≤−3 or x≥1x≥1

x less-than-or-equal-to negative 3  or  x greater-than-or-equal-to 1

x<−3x<−3 or x>1x>1

x less than negative 3  or  x greater than 1

Answer 1

To determine the correct solution set represented on the graph, we need to interpret the conditions based on the graph's shading and the placement of endpoints.

From your description of the options, it appears you want to decide whether the solution includes "or" or "and" conditions, and also whether the endpoints are included.

- **"x ≤ -3"** specifies that all values less than or equal to -3 are included (closed circle at -3).
- **"x > 1"** includes all values greater than 1 (open circle at 1 indicating that 1 is not included).

Given that these two intervals are not overlapping and are separated by the values between -3 and 1, the correct relationship here is "or."

Thus, the solution set that is represented is:

**"x ≤ -3 or x > 1"**

In your responses, that closely matches:

**"x less-than-or-equal-to negative 3 or x greater than 1."**

So the answer should be:
**x ≤ -3 or x > 1**.