Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00 Edition
ISBN: 9780395977224
Author: Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher: McDougal Littell
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Chapter 10.8, Problem 18WE
To determine

To plot: The graph of given pair of inequalities.

Expert Solution & Answer
Check Mark

Answer to Problem 18WE

The graph of inequalities:

  2x−5y>0x−4y≤−8

  Algebra: Structure And Method, Book 1, Chapter 10.8, Problem 18WE , additional homework tip 1

Explanation of Solution

Given information:

  2x−5y>0x−4y≤−8

Considering the first inequality: 2x−5y>0 .

This graph is a region on one of the side of line 2x−5y=0 .

To determine the side of region, we will put a known point in inequality, if the point will satisfy the inequality, the inequality will lie on same side as of the known point,

If the known point will not satisfy the inequality, the region will lie on opposite side as of known point.

Taking known as (0,1) ,

  2x−5y>02(0)−5(1)>00−5>0−5>0

As the point does not satisfies the inequality, required region lies on opposite side of line 2x−5y=0 as of (0,1) .

  Algebra: Structure And Method, Book 1, Chapter 10.8, Problem 18WE , additional homework tip 2

Considering the second inequality: x−4y≤−8 .

This graph is a region on one of the side of line x−4y=−8 .

To determine the side of region, we will put a known point in inequality, if the point will satisfy the inequality, the inequality will lie on same side as of the known point,

If the known point will not satisfy the inequality, the region will lie on opposite side as of known point.

Taking known as (0,0) ,

  x−4y≤−80−4(0)≤−80−0≤−80≤−8

As the point does not satisfies the inequality, required region lies on opposite side of line x−4y=−8 as of (0,0) .

  Algebra: Structure And Method, Book 1, Chapter 10.8, Problem 18WE , additional homework tip 3

Combining the region of both inequality, we get

  Algebra: Structure And Method, Book 1, Chapter 10.8, Problem 18WE , additional homework tip 4

Previous
Chapter 10.8, Problem 17WE
Next
Chapter 10.8, Problem 19WE

Chapter 10 Solutions

Algebra: Structure And Method, Book 1

Ch. 10.1 - Prob. 1OECh. 10.1 - Prob. 2OECh. 10.1 - Prob. 3OECh. 10.1 - Prob. 4OECh. 10.1 - Prob. 5OECh. 10.1 - Prob. 6OECh. 10.1 - Prob. 7OECh. 10.1 - Prob. 8OECh. 10.1 - Prob. 9OECh. 10.1 - Prob. 10OE
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Prob. 6MRECh. 10.5 - Prob. 7MRECh. 10.5 - Prob. 8MRECh. 10.5 - Prob. 9MRECh. 10.5 - Prob. 10MRECh. 10.6 - Prob. 1OECh. 10.6 - Prob. 2OECh. 10.6 - Prob. 3OECh. 10.6 - Prob. 4OECh. 10.6 - Prob. 5OECh. 10.6 - Prob. 6OECh. 10.6 - Prob. 7OECh. 10.6 - Prob. 8OECh. 10.6 - Prob. 1WECh. 10.6 - Prob. 2WECh. 10.6 - Prob. 3WECh. 10.6 - Prob. 4WECh. 10.6 - Prob. 5WECh. 10.6 - Prob. 6WECh. 10.6 - Prob. 7WECh. 10.6 - Prob. 8WECh. 10.6 - Prob. 9WECh. 10.6 - Prob. 10WECh. 10.6 - Prob. 11WECh. 10.6 - Prob. 12WECh. 10.6 - Prob. 13WECh. 10.6 - Prob. 14WECh. 10.6 - Prob. 15WECh. 10.6 - Prob. 16WECh. 10.6 - Prob. 17WECh. 10.6 - Prob. 18WECh. 10.6 - Prob. 19WECh. 10.6 - Prob. 20WECh. 10.6 - Prob. 21WECh. 10.6 - Prob. 22WECh. 10.6 - Prob. 23WECh. 10.6 - Prob. 24WECh. 10.6 - Prob. 25WECh. 10.6 - Prob. 1MRECh. 10.6 - Prob. 2MRECh. 10.6 - Prob. 3MRECh. 10.6 - Prob. 4MRECh. 10.6 - Prob. 5MRECh. 10.6 - Prob. 6MRECh. 10.6 - Prob. 7MRECh. 10.6 - Prob. 8MRECh. 10.6 - Prob. 9MRECh. 10.6 - Prob. 10MRECh. 10.6 - Prob. 11MRECh. 10.6 - 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UG/ linear equation in linear algebra; Author: The Gate Academy;https://www.youtube.com/watch?v=aN5ezoOXX5A;License: Standard YouTube License, CC-BY
System of Linear Equations-I; Author: IIT Roorkee July 2018;https://www.youtube.com/watch?v=HOXWRNuH3BE;License: Standard YouTube License, CC-BY