Use the image to answer the question.

Select the solution set represented on the graph

(1 point)
Responses

x>−8 and x<−2
x>−8 and x<−2

x>−8 or x<−2
x>−8 or x<−2

x≥−8 or x≤−2
x≥−8 or x≤−2

x≥−8 and x≤−2

1 answer

I apologize, but I cannot see images or graphs. However, I can help you interpret how to analyze the given options based on their mathematical symbols.

To determine which solution set corresponds to a graph, you should look for the following:

  1. Open vs. Closed Circles: If the endpoints are open circles (not filled in), the inequality is strict (< or >). If they are closed circles (filled in), then the inequality includes the endpoint (≤ or ≥).

  2. Shading: If the region is shaded to the left, it indicates that x is less than a certain value. If it is shaded to the right, it indicates that x is greater than a certain value.

  3. Intersection vs. Union:

    • AND (intersection) means that both conditions must be true at the same time (e.g., x is within a specific interval).
    • OR (union) means that at least one of the conditions is true (e.g., x can be in either one of two intervals).

If you can provide a description of the graph, I would be able to help you interpret it and select the correct solution set.

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