To solve: the inequality
Answer to Problem 66E
Explanation of Solution
Concept Used:
Quadratic Formula:
The zeros of the polynomial
Consider the inequality,
For rational expressions, key points are at its zeros and its undefined values.
First find zeros:
Function has undefined values at those points where its denominator is 0. So,
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 | Function Value | Conclusion |
Negative | |||
Positive | |||
Negative |
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