Answer The graph for the solution set of given inequalities is the colorful region along with the boundaries. Explanation Given information: The equations for the system of inequalities are { x + 2 y ≤ 2 − x + 2 y ≤ 2 y ≥ 0 Calculation: For the graph of x + 2 y ≤ 2 Make a table for the equation x + 2 y = 2 x 0 1 2 3 4 − 2 y 1 0.5 0 − 0.5 − 1 2 Plot the points and join the line. For the graph of − x + 2 y ≤ 2 Make a table for the equation − x + 2 y = 2 x 0 − 1 − 2 1 2 3 y 1 0.5 0 1.5 2 2.5 Plot the points and join the line. The graph of y ≥ 0 will be On combining all the graphs the resultant region is the colorful region along with the boundaries. On labeling the vertices of the region, the graph will be

4th Edition

ISBN: 9781337516853

Author: Larson

Publisher: CENGAGE CO

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Question

Chapter 7, Problem 70RE

To determine

To graph: the solution set of the system of inequalities and label the vertices of the region.

{x+2y≤2−x+2y≤2y≥0

Expert Solution & Answer

Answer to Problem 70RE

The graph for the solution set of given inequalities is the colorful region along with the boundaries.

EBK PRECALCULUS W/LIMITS, Chapter 7, Problem 70RE , additional homework tip 1

Explanation of Solution

Given information:

The equations for the system of inequalities are {x+2y≤2−x+2y≤2y≥0

Calculation:

For the graph of x+2y≤2

Make a table for the equation x+2y=2

x01234−2y10.50−0.5−12

Plot the points and join the line.

EBK PRECALCULUS W/LIMITS, Chapter 7, Problem 70RE , additional homework tip 2

For the graph of −x+2y≤2

Make a table for the equation −x+2y=2

x0−1−2123y10.501.522.5

Plot the points and join the line.

EBK PRECALCULUS W/LIMITS, Chapter 7, Problem 70RE , additional homework tip 3

The graph of y≥0 will be

EBK PRECALCULUS W/LIMITS, Chapter 7, Problem 70RE , additional homework tip 4

On combining all the graphs the resultant region is the colorful region along with the boundaries.

EBK PRECALCULUS W/LIMITS, Chapter 7, Problem 70RE , additional homework tip 5

On labeling the vertices of the region, the graph will be

EBK PRECALCULUS W/LIMITS, Chapter 7, Problem 70RE , additional homework tip 6

Chapter 7, Problem 69RE

Chapter 7, Problem 71RE

Chapter 7 Solutions

EBK PRECALCULUS W/LIMITS

Ch. 7.1 - Prob. 1E Ch. 7.1 - Prob. 2E Ch. 7.1 - Prob. 3E Ch. 7.1 - Prob. 4E Ch. 7.1 - Prob. 5E Ch. 7.1 - Prob. 6E Ch. 7.1 - Prob. 7E Ch. 7.1 - Prob. 8E Ch. 7.1 - Prob. 9E Ch. 7.1 - Prob. 10E

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To graph: the solution set of the system of inequalities and label the vertices of the region. { x + 2 y ≤ 2 − x + 2 y ≤ 2 y ≥ 0

Videos

To graph: the solution set of the system of inequalities and label the vertices of the region. {x+2y≤2−x+2y≤2y≥0

Answer to Problem 70RE

Explanation of Solution

Chapter 7 Solutions

To graph: the solution set of the system of inequalities and label the vertices of the region.

{x+2y≤2−x+2y≤2y≥0