Use the image to answer the question.

-10 -9
-6-5-4 -3
1
2
Select the solution set represented on the graph.
(1 point)
0 x> -8 or x < -2
0 x > -8 and x < -2
0 x ≥ -8 and x ≤ - 2
0 x≥ -80r x ≤ -2

1 answer

It seems like you're referring to a graph, but I cannot see images. However, I can guide you on how to interpret the solution set based on the options provided. Here’s a breakdown of the potential meanings of the options given:

  1. x > -8 or x < -2: This means any value greater than -8 or any value less than -2. This would be represented on a graph as two separate intervals: (-∞, -2) and (-8, ∞).

  2. x > -8 and x < -2: This represents the interval between -8 and -2. The graph would show a line between these two points (not including -8 and -2 if the inequality is strict).

  3. x ≥ -8 and x ≤ -2: This means the solution includes -8 and -2, represented on the graph as a closed line segment from -8 to -2, inclusive.

  4. x ≥ -8 or x ≤ -2: Similar to the first option, this means that x can be greater than or equal to -8 or less than or equal to -2.

To select the correct option based on the graph, look for:

  • Are there any open or closed circles at -8 and -2 that indicate whether these points are included?
  • Are you looking for overlapping intervals or distinct parts of the number line?

Match the visible sections of the graph to the corresponding logical options.

If you can describe the graph or provide the intervals represented, I can help you better determine which solution set is appropriate!

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