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Chapter 11: Q. 47 (page 783)

In Problems 43–52, graph each system of linear inequalities by hand. Tell whether the graph is bounded or unbounded, and label the corner points.

x≥0y≥0x+y≥22x+3y≤123x+y≤12

Short Answer

Expert verified

The graph has a bounded solution

Step by step solution

01

Step 1. Graph the inequalities x≥0, y≥0 and x+y≥12 

02

Step 2. Graph the inequality 2x+3y≤12

03

Step 3. Graph the inequality 3x+y≤12

04

Step 4. Plot the graph

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Most popular questions from this chapter

solve each system of equations. If the system has no solution, say that it is inconsistent.

2x+y=4-2y+4z=03x-2z=-11

Verify that the values of the variables listed are solutions of the system of equations.

3x-4y=412x-3y=-12x=2,y=12;2,12

Solve each system of equations. If the system has no solution, say that it is inconsistent.

5x-y=212x+3y=-12

Graph each inequality by hand.

y>x2+2

Solve each system of equations. If the system has no solution, say that it is inconsistent.

2x+y-3z=0-2x+2y+z=-73x-4y-3z=7
See all solutions

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