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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 and x≤−2
x≥−8 and x≤−2

x>−8 or x<−2
x>−8 or x<−2

x≥−8 or x≤−2

5 answers

To determine the correct solution set represented on the graph, you would need to analyze the endpoints and the shading of the graph.

  1. x > −8 and x < −2 implies that the graph would have an open interval between -8 and -2, meaning neither endpoint is included.
  2. x ≥ −8 and x ≤ −2 implies that the graph would include the endpoints -8 and -2, showing a closed interval.
  3. x > −8 or x < −2 suggests that values outside this interval are also included, indicating the entire left and right sections of the number line.
  4. x ≥ −8 or x ≤ −2 means that all values from -8 and above, as well as all values less than -2, are included.

Without the graph, I cannot give a definitive answer. However, you can identify the correct option by checking for open versus closed intervals and whether the shading allows for "or" situations (inclusive or exclusive bounds).

If you can provide a description of the graph or any identifying features, I would be glad to help further!

the image shows -8 going to -2 and -2 going to -8

Based on your description, it sounds like the graph shows a segment between -8 and -2, with shading toward the center. This indicates that the values between -8 and -2 are being highlighted.

Here's how we can interpret this based on the given options:

  • If the endpoints -8 and -2 are included in the shaded part of the graph (closed interval), the answer would be x ≥ −8 and x ≤ −2.
  • If the shaded portion does not include -8 and -2 (open interval), the answer would be x > −8 and x < −2.
  • If the intervals extend outward from -8 to the left (all values less than -8) or from -2 to the right (all values greater than -2), then the options involving "or" would be relevant.

Based on your description of shading between -8 and -2, the correct option would most likely be x ≥ −8 and x ≤ −2 if both endpoints are included, or x > −8 and x < −2 if they are not included. Please confirm if the endpoints are closed or open to finalize the correct answer!

they are opened

Thank you for the clarification! Since the endpoints -8 and -2 are open, the correct interpretation of the graph would be:

x > -8 and x < -2

This means the solution set represents all values of x that are greater than -8 and less than -2, not including -8 and -2 themselves.

Therefore, the correct answer is:

x > -8 and x < -2.