The intervals that represent the number line are given as follows:
b. [tex](-\infty, -5] \cup [8, \infty)[/tex]
What intervals belong to the number line?
The first painted interval is of numbers to the left of x = -5(inclusive due to closed circle), hence:
[tex](-\infty, -5][/tex]
The second interval is of numbers to the right of x = 8, also inclusive, hence:
[tex][8, \infty)[/tex]
Hence the union is given by:
[tex](-\infty, -5] \cup [8, \infty)[/tex]
More can be learned about a number line at https://brainly.com/question/24644930
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