Warm Up Solve each inequality and graph the solutions. 1. t < 5t + 24t > –6 2. 5x – 9 ≤ 4.1x – 81 x ≤ –80 b < b + 4(1 – b) > b – 9 Solve each inequality. 4. 2y – 2 ≥ 2(y + 7)ø 5. 2(–6r – 5) < –3(4r + 2) all real numbers

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4.3 Multi-Step Inequalities Word Problems Algebra 1

Problem #1 You need to have at least $100 in your account to avoid a fee. You have $247 in your account and you make withdrawals of $20 per week. What are the possible numbers of weeks that you can withdraw money and avoid a fee? At most 7 weeks

Problem #2 A house and a lot together cost more than $89,000. The house costs $1000 more than seven times the cost of the lot. How much does the lot cost? More than $11,000

Problem #3 The sum of two consecutive even integers is at most 400. Find the pair of integers with the greatest sum. 198 and 200

Problem #4 Between them, Terry and Shelley have 50 cassettes. If Shelley has more than two thirds as many cassettes as Terry, at least how many cassettes does Shelley have? At most how many does Terry have? Shelley, at least 21 cassettes; Terry, at most 29 cassettes.

Problem #5 Ken has 22 coins, some of which are dimes and the rest are quarters. Altogether, the coins are worth more than $3.40. At least how many of the coins are quarters? At most, how many are dimes? At lease 9 quarters and at most 13 dimes

Problem #6 The length of a rectangle is 3 times as great as its width. If the perimeter of the rectangle is no more than 72 cm, what is the greatest possible length of the rectangle? 27 cm

Problem #7 Eve’s grades on three tests were 78, 93, and 63. What is the lowest grade she can get on the next test to have an average higher than 80? 87

Problem #8 Martha wants to rent a car for a week and to pay no more than $130. How far can she drive if the car rental costs $94 a week plus $0.12 a mile? 300 miles or less