Linear Inequalities Answers

Translate the given statement into an algebraic inequality or compound inequality: A PG-13 movie rating means that your age, a, must be at least 13 years for you to watch the movie. a. b. c. d. Please select the best answer from the choices provided

Solve the problem. The following equation is used in meteorology to determine the temperature humidity index , where w represents the wet-bulb thermometer reading. For what values of w would T range from 85 to 95?

Andrew is planning a tailgate party before the big football game. He has budgeted a maximum of $60 for hamburgers and hot dogs. Hamburgers cost $3 per pound, and hot dogs cost $2 per pound. Write an inequality to describe the possible number of pounds of hamburgers and of hot dogs he can purchase. a. b. c. d. Please select the best answer from the choices provided

Grace is planning a move to a different city. She contacts two local rental companies and obtains the following information for the one-day cost of renting a truck: Company A: $40.95 per day plus $0.19 per mile Company B: $19.95 per day plus $0.49 per mile Let n represent the total number of miles driven in one day. Write an inequality that can be used to determine for what number of miles it is less expensive to rent the truck from Company B. a. b. c. d. Please select the best answer from the choices provided

Solve the following inequality algebraically: a. b. c. d. Please select the best answer from the choices provided

Life expectancy in the U.S. is steadily increasing due to medical advancements and the increased awareness of maintaining a healthy lifestyle. The life expectancies for men and women in the U.S. can be modeled by the following functions: where W(x) represents the life expectancy for women and M(x) represents the life expectancy for men, and x represents the number of years since 1975. (x = 0 corresponds to the year 1975, x = 5 corresponds to the year 1980 and so on.) Write an inequality that represents in what years the life expectancy of men is greater than that of women. a. b. c. d. Please select the best answer from the choices provided

Translate the given statement into an algebraic inequality or compound inequality: The range of temperature on other planets is different than the temperature here on Earth. For instance, the range of temperature, t, on the surface of Mars is from C to C. a. b. c. d. Please select the best answer from the choices provided

Which inequality below models the following situation? You want to spend less than $20 grapes and bananas. Grapes are $3.00 per pound and bananas are $.50 per pound. Let a represent the weight of the grapes and b represent the weight of the bananas. a. b. c. d. Please select the best answer from the choices provided

Translate the given statement into an algebraic inequality or compound inequality: The IRS says you are in a certain tax bracket if your taxable income, i, is over $24,500, but not over $59,725. a. b. c. d. Please select the best answer from the choices provided

A charity is planning to raffle off a new car donated by a local car dealer. The charity wants to raise at least $70,000. It expects to sell at least 1250 tickets and to spend $5000 promoting the raffle. Find the possible ticket prices, p, by solving the following inequality:

Solve the following inequality using both the graphical and algebraic approach: Graph A Graph B

When graphing inequalities, where can the solutions be found?

Translate the given statement into an algebraic inequality or compound inequality: To avoid an additional charge, the sum of the length, l, width, w, and depth, d, of a piece of luggage to be checked on a commercial airline can be at most 61 inches. a. b. c. d. Please select the best answer from the choices provided

Grace is planning a move to a different city. She contacts two local rental companies and obtains the following information for the one-day cost of renting a truck: Company A: $40.95 per day plus $0.19 per mile Company B: $19.95 per day plus $0.49 per mile Let n represent the total number of miles driven in one day. Write an inequality that can be used to determine for what number of miles it is less expensive to rent the truck from Company B. a. b. c. d. Please select the best answer from the choices provided

Explain what needs to happen to the inequality sign when dividing or multiplying by a negative number.

Solve the inequality. a. b. c. d. Please select the best answer from the choices provided