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Chapter 11: Q. 47 (page 783)

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

x鈮�0y鈮�0x+y鈮�22x+3y鈮�123x+y鈮�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

In Problems 5鈥�24, graph each equation of the system. Then solve the system to find the points of intersection.

y=x-1;y=x2-6x+9

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

x - y + z = -4

2x - 3y + 4z = -15

5x + y - 2z = 12

Two circles have circumferences that add up to 12蟺cmand areas that add up to 20蟺cm2. Find the radius of each circle.

In Problems 5鈥�24, graph each equation of the system. Then solve the system to find the points of intersection.

x=2y;x=y2-2y

In Problems 5鈥�24, graph each equation of the system. Then solve the system to find the points of intersection.

x2+y2=4;y2-x=4
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