DISCUSS: Shading Unwanted Regions To graph the solution of a system of inequalities, we have shaded the solution of each inequality in a different color; the solution of the system is the region where all the shaded parts overlap. Here is a different method: For each inequality, shade the region that does not sat- isfy the inequality. Explain why the part of the plane that is left unshaded is the solution of the system. Solve the following sys- tem by both methods. Which do you prefer? Why? x + 2y > 4 -x + y<1 x + 3y <9 x<3
DISCUSS: Shading Unwanted Regions To graph the solution of a system of inequalities, we have shaded the solution of each inequality in a different color; the solution of the system is the region where all the shaded parts overlap. Here is a different method: For each inequality, shade the region that does not sat- isfy the inequality. Explain why the part of the plane that is left unshaded is the solution of the system. Solve the following sys- tem by both methods. Which do you prefer? Why? x + 2y > 4 -x + y<1 x + 3y <9 x<3
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
Section10.5: Systems Of Inequalities
Problem 75E
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