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Chapter 11: Q. 29 (page 783)

In Problems 23鈥�34, graph each system of linear inequalities by hand. Verify your results using a graphing utility

x-2y鈮�62x-4y鈮�0

Short Answer

Expert verified

The graph is


Step by step solution

01

Step 1. Graphing line x-2y≤6

The graph of the line x-2y鈮�6can be plotted by plotting the linex-2y=6

Now, the graph is shaded including the origin because it satisfies the point(0,0)

02

Step 2. Graphing line 2x-4y≥0

First graph the line2x-4y=02x-4y=0

Take any arbitrary point (2,0).

Since the equation satisfies this point, therefore, it will come in the shaded region.

03

Step 3. Final graph

The intersection of both the graphs of the lines will give the final graph.

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Most popular questions from this chapter

In Problems 35鈥�42, graph each system of inequalities by hand.

x2+y2鈮�9x+y鈮�3

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

3x+3y=-14x+y=83

If the lines that make up a system of two linear equations are coincident, then the system is __________ and the equations are ___________.

Constructing a Box: A rectangular piece of cardboard, whose area is 216 square centimeters, is made into an open box by cutting a 2-centimeter square from each corner and turning up the sides. See the figure. If the box is to have a volume of 224 cubic centimeters, what size cardboard should you start with?

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

3x+2y=2x-7y=-30x=-2,y=4;(-2,4)
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