Math continued5.3For use with the lesson "Solve Multi-Step Inequalities"Solve the inequality, if possible.21. 6x + 2 y–ン2x - 8 + 3x 2 5x – 41ナ23.24. 3(b - 1) <325.9a -6a + 1<1 + 3a26. 8y + 10>2Translate the verbal phrase into an inequality. Then solve theand graph your solution.27. The sum of 4x and 7 is less than or equal to 39.28. Three times the difference of x and 2 is greater than -21.. The sum of 5x and 8x is less than the sum of 4x and 27.Greeting Cards Your school club is making greeting carlies and plan to sell the cards for S

Authoring guidelines: As per the authoring guidelines, we can solve only the first question.Please…

Answered: Solve the inequality, if possible. 21.…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter5: Linear Inequalities

Section5.3: Solving Multi-step Inequalities

Problem 64PFA

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Greek Mythology Can the Greek hero Achilles, running at 20 feet per second, ever catch a tortoise, starting 20 feet ahead of Achilles and running at 10 feet per second? The Greek mathematician Zeno said no. When Achilles runs 20 feet, the tortoise will be 10 feet ahead. Then, when Achilles runs 10 feet, the tortoise will be 5 feet ahead. Achilles will keep cutting the distance in half but will never catch the tortoise. The table shows Zeno’s reasoning. In the table, both the distances and the times required to achieve them form infinite geometric series. Using the table, show that both series have finite sums. What do these sums represent?
Elena needs to earn at least $450 a week during her summer break to pay for college. She works two jobs. One as a swimming instructor that pays $9 an hour and the other as an intern in a genetics lab for $22.50 per hour. How many hours does Elena need to work at each job to earn at least $450 per week? (a) Let x be the number of hours she works teaching swimming and let y be the number of hours she works as an intern. Write an inequality that would model this situation. (b) Graph the inequality. (c) Find three ordered pairs (x, y) that would be solutions to the inequality. Then, explain what that means for Elena.

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Solve the inequality, if possible. 21. 6x + 255+ 2 人ナ2と