MathematicsShow the solution Write solution if the given value of the variable is a solution of the given inequality.Otherwise, write not a solution.1. 4x+ 8(-3x-8)< 5x-14; x= 911-5x+32.2-66; x =-5Find the solution set of each rational inequality.x-4 1x-8 24x 2-3x5.3.x+3<623.+1>04.VI

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Answered: Write solution if the given value of…

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 63PFA

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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.
Find your last month’s phone bill and the hourly salary you are paid at your job. (If you do not have a job, use the hourly salary you would realistically be paid if you had a job.) Calculate the number of hours of work it would take you to earn at least enough money to pay your phone bill by writing an appropriate inequality and then solving it.
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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Write solution if the given value of the variable is a solution of the given inequality. Otherwise, write not a solution. 1. 4x+ 8(-3x-8) < 5x-14; x= 9 1 -5x+5 2-66; x =-5 2. 2