Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Question
Chapter 3, Problem 18MCQ
To determine
To calculate: The solution set for the system of inequalities with the help of a graph.
y≥2x−5y≤x+4
Expert Solution & Answer
Answer to Problem 18MCQ
The solution set for the system of inequalities is Region 3.
Explanation of Solution
Given information:
The system of inequalities,
y≥2x−5y≤x+4
Calculation:
Consider the system of inequalities,
y≥2x−5y≤x+4
Plot the inequalities y≥2x−5 and y≤x+4 on the coordinate plane.
Region 1 and 3 depicts the inequality y≥2x−5 and region 2 and 3 depicts the inequality y≤x+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 (−10,−10) from region 3 in the inequalities and check.
For the inequality y≥2x−5 , substitute x as −10 and y as −10 .
−10≥2(−10)−5−10≥−20−5−10≥−25
For the inequality y≤x+4 , substitute x as −10 and y as −10 .
−10≤−10+4−10≤−6
Both the inequalities satisfy the point.
Thus, the solution set for the system of inequalities is region 3.
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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