# Inequalities

Question 1: (3 points)
Solve the inequality.
Enter the exact answer in interval notation.
To enter , type infinity. To enter , type U. For example, to enter , type (-infinity, 100].
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Question 2: (3 points)
Solve the compound inequality.
Enter the exact answer in interval notation.
To enter , type infinity. To enter , type U. For example, to enter , enter (-infinity, 99) U ([101, infinity).
5x − 13 ≤ 7
∞ ∪ (−∞, 100]
3x + 2 > 2x − 3 > x − 14
∞ ∪ (−∞, 99) ∪ [101,∞)
Southern New Hampshire University – 1/19/21, 4:06 PM
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Question 3: (3 points)
A basic cellular package costs /month for minutes of calling with an additional charge of /minute beyond that time. The
cost function for using minutes would be
If you used 60 minutes or less, i.e. if if , then (the base charge).
If you used more than 60 minutes, i.e. minutes more than the plan came with, you would pay an additional for
each of those minutes. Your total bill would be .
If you want to keep your bill at or lower for the month, what is the maximum number of calling minutes you can use?
The maximum calling minutes you can use is ____________ minutes.
Question 4: (6 points)
a. Determine whether the relation represents as a function of .
(a) Yes, the relation represents a function.
(b) No, the relation does not represent a function.
b. Determine whether the relation represents as a function of .
(a) Yes, the relation represents a function

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