To accurately determine which solution set corresponds to the number line graph, we need to clarify the interpretations of each response based on the descriptions provided.
Here’s a breakdown of the options:
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x ≤ -3 and x ≥ -3
- This actually means just x = -3, as both conditions need to be true simultaneously.
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x < -3 and x > 3
- This set represents numbers that are less than -3 or greater than 3, which would not be adjacent.
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x ≤ -3 or x ≥ -3
- This includes all numbers less than or equal to -3 and also all numbers greater than or equal to -3. This is essentially all real numbers since it covers everything on the number line.
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x < -3 or x > 3
- This indicates numbers that are either less than -3 or greater than 3, which are the two intervals that do not overlap.
Without seeing the actual number line graph, I can't tell you definitively which option is correct, but each interpretation offers different ranges of number sets.
If you are looking for a solution set that includes all the real numbers, then option 3 (x ≤ -3 or x ≥ -3) is the likely answer. If the graph shows two distinct regions (left of -3 and right of 3), then option 4 would be the right one.
Please provide more specific details about the number line graph for a precise answer!