1015-101015-5-10-15 Graphing InequalitiesGraph the following inequality.Note: To graph the inequality:1. Select the type of line below (solid or dashed).2. Plot two points on the line.3. Click on the side that should be shaded.-2x y 33

Given:- -2x-y>3 To find:- Draw graph of inequality and draw feasible region

Answered: Graphing Inequalities Graph the…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter5: Solving Systems Of Linear Equations

Section5.6: Graphing Linear Inequalities In Two Variables

Problem 41E

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The doctor tells Laura she needs to exercise enough to burn 500 calories each day. She prefers to either run or bike and burns 15 calories per minute while running and 10 calories a minute while biking. (a) If x is the number of minutes that Laura runs and y is the number minutes she bikes, find the inequality that models the situation. (b) Graph the inequality. (c) List three solutions to the inequality. What optionsdo the solutions provide Laura?
Graph the inequality xy3 . How do you knowwhich side of the line xy=3 should be shaded?
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.
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
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.
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?
Graph the linear inequality: y2x .
Graph the linear inequality: y3x .
Atsushi he needs to exercise enough to burn 600 calories each day. He prefers to either run or bike and burns 20 calories per minute while running and 15 calories a minute while biking. (a) If x is the number of minutes that Atsushi runs and yis the number minutes he bikes, find the inequality that models the situation. (b) Graph the inequality. (c) List three solutions to the inequality. What options do the solutions provide Atsushi?

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Graphing Inequalities Graph the following inequality. Note: To graph the inequality: 1. Select the type of line below (solid or dashed). 2. Plot two points on the line. 3. Click on the side that should be shaded. - 2x -y > 3 15+