The system of inequalities for number of fiction and nonfiction books. the company can produce and sketch the graph for solution set.
Answer to Problem 51E
The system of inequalities that describes the number of fiction and nonfiction books the company produces are
Explanation of Solution
Given:
Let the number of fiction books the company produces be x
Let the number of nonfiction books the company produces be y
The total number of books produced every year is not greater than
At least twenty of the books are nonfiction, and represented as inequality,
The company publishes at least as much fiction as nonfiction.
So,
The number of books cannot be negative.
Take the first inequality
To plot the graph change the sign of inequality as
Substitute 0 for x in
Substitute 0 for y in
Take the second inequality
To plot the graph change the sign of inequality as
Now,
The point of intersection between the first two inequalities is calculated by equating equation of one inequality into equation of other.
Substitute
The point of intersection between
The point of intersection between
The point of intersection between
Substitute y for x in
Substitute
The point of intersection between
Figure (1)
Thus, the system of inequalities that describes the number of fiction and non-fiction books the company produces are
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