The shaded region shown represents the solutions to which inequality?
The shaded region shown represents the solutions to which inequality?

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

18th Edition

ISBN: 9780079039897

Author: Carter

Publisher: McGraw Hill

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Transcribed Image Text:Which compound inequality matches the graph below? -10 -8 x > -7 or x < 2 A Bx -7 or x < 2 x < -7 or x > 2 x < -7 or a > 2 P Type here to search

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Shanthie needs to earn at least \$500 a week during her summer break to pay for college. She works two jobs. One as a swimming instructor that pays \$10an hour and the other as an intern in a law office for\$25 hour. How many hours does Shanthie need to work at each job to earn at least \$500 per week? (a) Let x be the number of hours she works teaching swimming and let y be the number of hours she worksas an intern. Write an inequality that would model thissituation. (b) Graph the inequality. (c) Find three ordered pairs (x,y) that would be solutions to the inequality. Then, explain what that means for Shanthie.

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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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Graph the linear inequality 2x3y6 .

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Armando’s workouts consist of kickboxing and swimming. While kickboxing, he burns 10 calories per minute and he burns 7 calories a minute while swimming. He wants to burn 600 calories each day. (a) If x is the number of minutes that Armando will kickbox and y is the number minutes he will swim, find the inequality that will help Armando create a workout for today. (b) Graph the inequality. (c) List three solutions to the inequality. What options do the solutions provide Armando?

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Veronica works two part time jobs in order to earn enough money to meet her obligations of at least \$280 a week. Her job at the day spa pays \$10 an hour and her administrative assistant job on campus pays \$17.50 an hour. How many hours does Veronica need to work at each job to earn at least \$280? (a) Let x be the number of hours she works at the day spa and let y be the number of hours she works as administrative assistant. 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 Veronica

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Graph the linear inequality: y2x .

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