Practice: Section 3
Practice: Section 3.4
Inequalities in One Variable
Translate each statement into an algebraic inequality or a compound inequality.
|1. A PG-13 movie rating means that your age, a, must be at least 13 years |2. To avoid an additional charge, the sum of the length, l, width, w, and |
|for you to view the movie. |depth, d, of a piece of luggage to be checked on a commercial airliner can |
| |be at most 61 inches. |
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|3. The label on a bottle of film developer states that the temperature, t,|4. You are in a certain tax bracket if your taxable income, i, is over |
|of the contents must be kept between 68°F and 77°F. |$24,650 but not over $59,750. |
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Solve each inequality graphically and algebraically.
|5. 3x > -6 |
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|6. 5x – 1 < 2x + 11 |
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|7. 3 – 2x < 5 |
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Solve each inequality graphically and algebraically.
|8. 5 – x < 2(x – 3) + 5 |
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|9. 1 < 3x – 2 < 4 |
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|10. –2 < [pic] + 1< 5 |
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12. You contact two local rental companies and obtain the following information for the one-day cost of renting a truck:
Company 1: $40.95 per day and $0.19 per mile
Company 2: $19.95 per day and $0.49 per mile
Let n represent the total number of miles driven in one day.
|a) Write an expression to determine the total cost, C, of renting a truck |b) Write an expression to determine the total cost, C, of renting a truck |
|for one day from company 1. |for one day from company 2. |
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|c) Use the expressions in parts a & b to write an inequality that can be |d) Solve the inequality your wrote in part c. |
|used to determine for what number of miles it is less expensive to rent the| |
|truck from company 2. | |
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