ВCDThe solution of systems of linear inequalities are the points or set ofordered pairs that satisfy both inequalities. It is where shaded region regions ofeach inequality overlap.Examples:Fin the solution set the systems of inequalities:1. y 2 x + 32. у > х- 13.X - 2y s - 4ys - 2x + 4y s - 2бу s 3x + 2PIVOT 4A CALABARZON Math G810

Concept Used: System of inequalities The concept of a system of inequalities refers to a set of two…

Answered: Fin the solution set the systems of…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter10: Systems Of Equations And Inequalities

Section10.CR: Chapter Review

Problem 9CC

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Philip’s doctor tells him he should add at least 1,000 more calories per day to his usual diet. Philip wants to buy protein bars that cost $1.80 each and have 140 calories and juice that costs $1.25 per bottle and have 125 calories. He doesn’t want to spend more than $12. (a) Write a system of inequalities that models this situation. (b) Graph the system. (c) Can he buy 3 protein bars and 5 bottles of juice? (d) Can he buy 5 protein bars and 3 bottles of juice?
Tension needs to eat at least an extra 1,000 calories a day to prepare for running a marathon. He has only $25 to spend on the extra food he needs and will spend it on $0.75 donuts which have 360 calories each and $2 energy drinks which have 110 calories. (a) Write a system of inequalities that models this situation. (b) Graph the system. (c) Can he buy 8 donuts and 4 energy drinks and satisfy his caloric needs? (d) Can he buy 1 donut and 3 energy drinks and satisfy his caloric needs?
A trailer can carry a maximum weight of 160 pounds and a maximum volume of 15 cubic feet. A microwave oven weighs 30 pounds and has 2 cubic feet of volume, while a printer weighs 20 pounds and has 3 cubic feet of space. (a) Write a system of inequalities to model this situation. (b) Graph the system. (c) Could 4 microwaves and 2 printers be carried on this trailer? (d) Could 7 microwaves and 3 printers be carried on this trailer?
Tickets for an American Baseball League game for 3 adults and 3 children cost less than $75, while tickets for 2 adults and 4 children cost less than $62. (a) Write a system of inequalities to model this problem. (b) Graph the system. (c) Could the tickets cost $20 for adults and $8 for children? (d) Could the tickets cost $15 for adults and $5 for children?
Tension needs to eat at least an extra 1,000 calories a day to prepare for running a marathon. He has only $25 to spend on the extra food he needs and will spend it on $0.75 donuts which have 360 calories each and $2 energy drinks which have 110 calories. (a) Write a system of inequalities that models this situation. (b) Graph the system. (c) Can he buy 8 donuts and 4 energy drinks? (d) Can he buy 1 donut and 3 energy drinks?
Coffee Blends A coffee merchant sells two different coffee blends. The Standard blend uses 4 oz of Arabica and 12 oz of robusta beans per package: the Deluxe blend uses 10 oz of arabica and 6 oz of robusta beans per package. The merchant has 80 lb of arabica and 90 Ib of robusta beans available. Find a system of inequalities that describes the possible number of Standard and Deluxe packages the merchant cam make. Graph the solution set.
Biology Each day, an average adult moose can process about 32 kilograms of terrestrial vegetation (twigs and leaves) and aquatic vegetation. From this food, it needs to obtain about 1.9 grams of sodium and 11,000 calories of energy. Aquatic vegetation has about 0.15 gram of sodium per kilogram and about 193 calories of energy per kilogram, whereas terrestrial vegetation has minimal sodium and about four times as much energy as aquatic vegetation. Write and graph a system of inequalities that describes the amounts t and a of terrestrial and aquatic vegetation, respectively, for the daily diet of an average adult moose.
(a) How do we graph the solution set of a system of inequalities. (b) Graph of the equation in the following system of inequalities are given graph the solution set of the system of inequalities. {x+y33xy1} (a) What is system of equation in the variable x, y and z? (b) What are the three method we used to solve a system of equations?

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Fin the solution set the systems of inequalities: 1. y ≥ x + 3 2. y > x - 1 y≤ - 2x + 4 y ≤ - 2 3. x - 2y ≤-4 6y≤ 3x + 2