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Chapter 3: Q2. (page 132)

2. Give an example of a system of inequalities that from a bounded region.

Short Answer

Expert verified

y鈮�2,x鈮�1,andx+2y鈮�9from a bounded region with verticesA(1,4),B(1,2),C(5,2)

Step by step solution

01

Step 1-Take some random in equation

Let; takey鈮�2,x鈮�1,andx+2y鈮�9

02

Step 2-Apply the concept of plotting a point on graph paper

Fory鈮�2x324y222

For,x鈮�1x111y234

Forx+2y鈮�9x951y024

03

–Identify the common region

We can see from graph that the region is bounded that is the feasible region is bounded. The vertices of Bounded region isA(1,4),B(1,2),C(5,2)

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Most popular questions from this chapter

11: Solve each system of inequalities by graphing.

x+2y鈮�73x-4y>12

58b+12=-34

The graphs of y-2x=1,4x+y=7,and2y-x=-4 contain the sides of a triangle. Find the coordinates of the vertices of the triangle

Explain why a system of linear equations cannot have exactly two solutions.

12a-14=16a+112
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