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ddd [48]
3 years ago
13

Consider the following sets. U = {all real number points on a number line} A = {solutions to the inequality 3x + 4 ≥ 13} B = {so

lutions to the inequality One-halfx + 3 ≤ 4} For which values of x is A ⋃ B = Ø? 2 3
Mathematics
1 answer:
blagie [28]3 years ago
7 0

Answer:

2 < x < 3

Step-by-step explanation:

Set A)

3x + 4 ≥ 13

3x ≥ 9

x ≥ 3

Set B)

0.5x + 3 ≤ 4

0.5x ≤ 1

x ≤ 2

Plot it out on a number line, and you'll see that 2 < x < 3

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Domain:  \boldsymbol{(-\infty, \infty)}

Range:  \boldsymbol{(-\infty, \infty)}

=======================================================

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domain = set of all possible x inputs

range = set of all possible y outputs

--------------

In this case, the domain is the set of all real numbers because the graph stretches forever to the left and right. There aren't any gaps, holes, jumps, etc to worry about. Any real number works as an input.

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