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. |

| | |

| | |

| | |

| | |

|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. |

| | |

| | |

| | |

| | |

| | |

Solve each inequality graphically and algebraically.

|5. 3x > -6 |

| |

| |

| |

| |

| |

| |

|6. 5x – 1 < 2x + 11 |

| |

| |

| |

| |

| |

| |

|7. 3 – 2x < 5 |

| |

| |

| |

| |

| |

| |

Solve each inequality graphically and algebraically.

|8. 5 – x < 2(x – 3) + 5 |

| |

| |

| |

| |

| |

| |

|9. 1 < 3x – 2 < 4 |

| |

| |

| |

| |

| |

| |

|10. –2 < [pic] + 1< 5 |

| |

| |

| |

| |

| |

| |

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. |

| | |

| | |

| | |

| | |

|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. | |

| | |

| | |

| | |

| | |

................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download