Use the image to answer the question. Select the solution set that is represented by the graph below.

Question

(1 point)
Responses

x<−3 and x>1
x<−3 and x>1

x<−3 or x>1
x<−3 or x>1

x≤−3 or x>1
x≤−3 or x>1

x≤−3 or x≥1
x≤−3 or x≥1

Answer 1

To determine the correct solution set represented by a graph, one would typically examine the shading or lines on the graph.

1. If the areas representing solutions are shaded to the left of -3 and shaded to the right of 1, it suggests the solution is either of those intervals.
2. If the inequality includes the endpoints (-3 and 1) with solid dots or lines at those points, it implies that the solutions include those endpoints.

Based on standard mathematical notation for intervals:

• "x < -3" would typically mean an open interval (not including -3).
• "x ≤ -3" means the point -3 is included.
• "x > 1" would mean an open interval (not including 1).
• "x ≥ 1" means the point 1 is included.

If the graph shows areas that satisfy these conditions, you should select the option that correctly matches the solution set represented by the graph:

• If the graph indicates that points less than -3 or greater than 1 are included, the correct answers would be "x < -3 or x > 1."
• If the graph indicates the inclusion of -3 or 1, the correct answers would include "≤" or "≥" respectively.

Without seeing the image, I cannot definitively state which option is correct. However, if the graph shows open intervals for both sections, you would select "x < -3 or x > 1." On the other hand, if both endpoints are included, you would choose accordingly.

Please check the graph against the provided options and select the one that accurately describes the solution set.