To shade: the given solution set
Answer to Problem 103RE
Explanation of Solution
Given:
Calculation:
Consider the system of equations,
since the system of inequalities includes the equal signs.
So, draw solid lines that indicate that the points on the lines are included in the solution set.
The Graph of
The Graph of
The Graph of
Now choose a test point to see which side of the lines satisfies the inequality.
Test the ordered pair (0,0) for
That means (0,0) does not belong to the solution set of
So shade the portion of plane towards (0,0) i.e. above the line
Now choose a test point to see which side of the lines satisfies the inequality.
Test the ordered pair (0,0) for
That means (0,0) does not belong to the solution set of
So shade the portion of plane towards (0,0) i.e. below the line
Next
Pick (0,0) as a test point to determine which half-plane to shade and substitute (0,0) in
That means (0,0) belongs to the solution set of
So shade the portion of plane containing (0,0) i.e. below the line
Therefore the final graph is as shown below.
That is, the graph of the solution set of the system of inequalities is given by the intersection of the graphs of the solution sets of
Conclusion:
Therefore, the graph is shaded.
Chapter 10 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning