Towrite:The system of linear inequalities for given graph with given characteristics.
Answer to Problem 34PPE
The system of inequalities with required characteristics is
Explanation of Solution
Given information:
The graph of system of inequalities is shown in Figure-1 here.
The characteristic of inequalities that their all solutions lie in Quadrant III.
Method used:
Find equations of lines (boundaries of shaded portions) and write inequalities corresponding to obtained lines.
Calculations:
The line AB shown in Figure-2 passes through points
… (1)
The inequalities with boundary line given by equation (1) may be either
Since,
The line CD shown in Figure-2 passes through points
The inequalities with boundary line given by equation (1) may be either
Since,
Verification:
The graph of obtained system of inequalities
Hence, the system of inequalities that has Quadrant III its solution is
Conclusion:
The system of inequalities with required characteristics are:
Chapter 6 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
Additional Math Textbook Solutions
College Algebra
Introductory and Intermediate Algebra for College Students (5th Edition)
College Algebra (5th Edition)
College Algebra with Modeling & Visualization (5th Edition)
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education