Which pair of inequalities is equivalent to 0 < x< 3?(a) x > 0 and x > 3(c) x> 0 and x < 3(b) x < 0 andx > 3(d) x < 0 and x < 3

Given: 0<x≤3 To Find: To identify which pair of inequalities is equivalent to the given…

Answered: Which pair of inequalities is…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter6: Systems Of Linear Equations And Inequalities

Section6.6: Systems Of Inequalities

Problem 45PFA

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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.
Height and Weight For a healthy person who is 4 feet 10 inches tall, the recommended minimum weight is about 91 pounds and increases by about 3.6 pounds for each additional inch of height. The recommended maximum weight is about 115 pounds and increases by about 4.5 pounds for each additional inch of height. (a) Let x be the number of inches by which a person’s height exceeds 4 feet 10 inches and let y be the person’s weight (in pounds). Write a system of inequalities that describes the possible values of x and y for a healthy person. (b) Use a graphing utility to graph the system of inequalities from part (a). (c) What is the recommended weight range for a healthy person who is 6 feet tall?

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Which pair of inequalities is equivalent to 0 < x< 3? (a) x > 0 and x > 3 (c) x> 0 and x < 3 (b) x < 0 andx > 3 (d) x < 0 and x < 3