Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter 3, Problem 8PT
To determine

To calculate: The solution set for the system of inequalities with the help of a graph.

  2y−5x≤64x+y<−4

Expert Solution & Answer
Check Mark

Answer to Problem 8PT

The solution set for the system of inequalities is Region 3.

  Algebra 2, Chapter 3, Problem 8PT , additional homework tip 1

Explanation of Solution

Given information:

The system of inequalities,

  2y−5x≤64x+y<−4

Calculation:

Consider the system of inequalities,

  2y−5x≤64x+y<−4

Plot the inequalities 2y−5x≤6 and 4x+y<−4 on the coordinate plane.

  Algebra 2, Chapter 3, Problem 8PT , additional homework tip 2

Region 1 and 3 depicts the inequality 2y−5x≤6 and region 2 and 3 depicts the inequality 4x+y<−4 .

The region common to both the inequalities is region 3.

Therefore, the solution set of the system of inequalities is region 3.

To verify substitute any arbitrary point say (0,−30) from region 3 in the inequalities and check.

For the inequality 2y−5x≤6 , substitute x as 0 and y as −30 .

  2(−30)−5(0)≤6−60≤6

For the inequality 4x+y<−4 , substitute x as 0 and y as −30 .

  4(0)+(−30)<−4−30<−4

Both the inequalities satisfy the point.

Thus, the solution set for the system of inequalities is region 3.

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Chapter 3, Problem 7PT
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Chapter 3, Problem 9PT

Chapter 3 Solutions

Algebra 2

Ch. 3.1 - Prob. 1ACYPCh. 3.1 - Prob. 1BCYPCh. 3.1 - Prob. 2ACYPCh. 3.1 - Prob. 2BCYPCh. 3.1 - Prob. 3CYPCh. 3.1 - Prob. 4ACYPCh. 3.1 - Prob. 4BCYPCh. 3.1 - Prob. 4CCYPCh. 3.1 - Prob. 4DCYPCh. 3.1 - Prob. 1CYU
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Prob. 5ECh. 3.3 - Prob. 6ECh. 3.3 - Prob. 7ECh. 3.3 - Prob. 8ECh. 3.3 - Prob. 9ECh. 3.4 - Prob. 1ACYPCh. 3.4 - Prob. 1BCYPCh. 3.4 - Prob. 2ACYPCh. 3.4 - Prob. 2BCYPCh. 3.4 - Prob. 3CYPCh. 3.4 - Prob. 1CYUCh. 3.4 - Prob. 2CYUCh. 3.4 - Prob. 3CYUCh. 3.4 - Prob. 4CYUCh. 3.4 - Prob. 5CYUCh. 3.4 - Prob. 6CYUCh. 3.4 - Prob. 7CYUCh. 3.4 - Prob. 8PPSCh. 3.4 - Prob. 9PPSCh. 3.4 - Prob. 10PPSCh. 3.4 - Prob. 11PPSCh. 3.4 - Prob. 12PPSCh. 3.4 - Prob. 13PPSCh. 3.4 - Prob. 14PPSCh. 3.4 - Prob. 15PPSCh. 3.4 - Prob. 16PPSCh. 3.4 - Prob. 17PPSCh. 3.4 - Prob. 18PPSCh. 3.4 - Prob. 19PPSCh. 3.4 - Prob. 20PPSCh. 3.4 - Prob. 21PPSCh. 3.4 - Prob. 22PPSCh. 3.4 - Prob. 23PPSCh. 3.4 - Prob. 24PPSCh. 3.4 - Prob. 25PPSCh. 3.4 - Prob. 26PPSCh. 3.4 - Prob. 27PPSCh. 3.4 - Prob. 28PPSCh. 3.4 - Prob. 29PPSCh. 3.4 - Prob. 30HPCh. 3.4 - Prob. 31HPCh. 3.4 - Prob. 32HPCh. 3.4 - Prob. 33HPCh. 3.4 - Prob. 34HPCh. 3.4 - Prob. 35HPCh. 3.4 - Prob. 36HPCh. 3.4 - Prob. 37HPCh. 3.4 - Prob. 38STPCh. 3.4 - Prob. 39STPCh. 3.4 - Prob. 40STPCh. 3.4 - 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Prob. 30HPCh. 3.5 - Prob. 31HPCh. 3.5 - Prob. 32HPCh. 3.5 - Prob. 33HPCh. 3.5 - Prob. 34STPCh. 3.5 - Prob. 35STPCh. 3.5 - Prob. 36STPCh. 3.5 - Prob. 37STPCh. 3.5 - Prob. 38STPCh. 3.5 - Prob. 39SCh. 3.5 - Prob. 40SCh. 3.5 - Prob. 41SCh. 3.5 - Prob. 42SCh. 3 - Prob. 1QCCh. 3 - Prob. 2QCCh. 3 - Prob. 3QCCh. 3 - Prob. 4QCCh. 3 - Prob. 5QCCh. 3 - Prob. 6QCCh. 3 - Prob. 7QCCh. 3 - Prob. 8QCCh. 3 - Prob. 9QCCh. 3 - Prob. 10QCCh. 3 - Prob. 11QCCh. 3 - Prob. 12QCCh. 3 - Prob. 13QCCh. 3 - Prob. 14QCCh. 3 - Prob. 1MCQCh. 3 - Prob. 2MCQCh. 3 - Prob. 3MCQCh. 3 - Prob. 4MCQCh. 3 - Prob. 5MCQCh. 3 - Prob. 6MCQCh. 3 - Prob. 7MCQCh. 3 - Prob. 8MCQCh. 3 - Prob. 9MCQCh. 3 - Prob. 10MCQCh. 3 - Prob. 11MCQCh. 3 - Prob. 12MCQCh. 3 - Prob. 13MCQCh. 3 - Prob. 14MCQCh. 3 - Prob. 15MCQCh. 3 - Prob. 16MCQCh. 3 - Prob. 17MCQCh. 3 - Prob. 18MCQCh. 3 - Prob. 19MCQCh. 3 - Prob. 20MCQCh. 3 - Prob. 21MCQCh. 3 - Prob. 22MCQCh. 3 - Prob. 1SGRCh. 3 - Prob. 2SGRCh. 3 - Prob. 3SGRCh. 3 - Prob. 4SGRCh. 3 - Prob. 5SGRCh. 3 - 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