To solve: the inequality
Answer to Problem 64E
Explanation of Solution
Concept Used:
Quadratic Formula:
The zeros of the polynomial
Consider the inequality,
First step to solve the given inequality is to find the key numbers of the inequality. For that, find zeros of the polynomial
Thus, the key numbers are
So, the inequality’s test intervals are
In each test interval, choose a representative x -value and evaluate the polynomial.
Test-Interval | x -value | Polynomial Value | Conclusion |
Positive | |||
Negative | |||
Positive |
The inequality is satisfied for all x -values in
This implies that the solution set of the inequality
Chapter 2 Solutions
EBK PRECALCULUS W/LIMITS
- 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