Systems of Inequalities Graph the solution set of the system of inequalities. Find the coordinates of all vertices, and determine whether the solution set is bounded.
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Precalculus: Mathematics for Calculus (Standalone Book)
- Discuss Shading unwanted regions to graph the solution of a system of inequalities, we have stated the solution of each inequalities in a different color; the solution of a system is the regions where all shaded parts overlap here is a different method; for each inequality shade the regions that does not satisfy the inequality explain why the part of the plane that is left unshaded is the solution of the system. Solve the following system by both method ,why do they prefer? Why? {x+2y4x+y1x+3y9x3}arrow_forwardHeight 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?arrow_forwardProduction A furniture company produces tables and chairs. Each table requires 1 hour in the assembly center and 113 hours in the finishing center. Each chair requires 112 hours in the assembly center and 112 hours in the finishing center. The assembly center is available 12 hours per day, and the finishing center is available 15 hours per day. Write and graph a system of inequalities that describes all possible production levels.arrow_forward
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