Question

Question
Use the image to answer the question
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The image shows a number line with two intervals highlighted.

The image is a simple horizontal number line ranging from -5 to 5, with each integer marked. Two segments are highlighted in a burnt orange color. One segment begins at -5 and extends to -3, stopping just short of -3. The other highlighted segment starts just after 3 and extends to 5. The highlighted segments are represented by solid orange lines, and the points -3 and 3 are circled, indicating that these points are not included in the intervals. The number line itself is black and appears to be a neutral, objective representation of mathematical concepts. The overall mood is unemotional and purely informational. There are no objects, people, or animals depicted, just a mathematical illustration.


What solution set does the number line graph?

(1 point)
Responses

x<−3 and x>3
x<−3 and x>3

x≤−3 and x≥−3
x≤−3 and x≥−3

x≤−3 or x≥−3
x≤−3 or x≥−3

x<−3 or x>3
x<−3 or x>3
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Answers

Answered by GPT-4o mini
The solution set represented by the highlighted intervals on the number line is:

**x < -3 or x > 3**

This is because the interval from -5 to -3 (not including -3) indicates values less than -3, and the interval from just after 3 to 5 (not including 3) indicates values greater than 3. Thus, the correct response is the last option:

**x < -3 or x > 3**

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