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Chapter 11: Q. 44 (page 794)

In Problems 44 and 45, graph each inequality by hand. Verify your results using a graphing utility.

3x+4y鈮�12

Short Answer

Expert verified

The graph of3x+4y鈮�12is

Step by step solution

01

Step 1. Given data

The given inequality is

3x+4y鈮�12

02

Step 2. Properties of the graph of the inequality

Graph of 3x+4y=12will be a line

now test the point (0,0)inequality

3x+4y鈮�123(0)+4(0)鈮�120鈮�12

inequality satisfied so the point (0,0)will lie in the region of inequality

So shade the region from line role="math" localid="1646954411324" 3x+4y=12toward the origin

03

Step 3. graph of the inequality 

Plot a solid line 3x+4y=12and shade the region toward origin to plot the graph of3x+4y鈮�12

04

Step 4. Verification

Plot the graph of3x+4y鈮�12using a graphing utility

Graph matches with our graph so our graph is correct.

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Most popular questions from this chapter

Graph each inequality by hand.

x2+y2>1

Graph each equation of the system. Then solve the system to find the points of intersection.
y=x2+1y=4x+1

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

x + y - z = 6

3x - 2y + z = -5

x + 3y - 2z = 14

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

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

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

x2+y2=8;x2+y2+4y=0
See all solutions

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