Question

Use the image to answer the question. 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 negative 3 or 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

Answer 1

To determine the correct solution set represented on the graph, we can analyze the options based on common interpretations of inequalities.

1. x < -3 and x > 1 - This suggests that both conditions must be true at the same time, which is impossible.

2. x < -3 or x > 1 - This means either condition can be true.

3. x ≤ -3 or x > 1 - This includes the endpoint at -3.

4. x ≤ -3 or x ≥ 1 - This means we include both endpoints, which may not match common graphs.

From these descriptions, if the graph indicates open circles at -3 and 1, the conditions with the open circles would suggest a set that includes less than -3 and greater than 1, which aligns with option 2 (x < -3 or x > 1) since it states "or," allowing for either condition to be satisfied.

Thus, the final answer is:

x < -3 or x > 1