Tofind:if the given statement is true or false.
Answer to Problem 84E
True
Explanation of Solution
Given:
The statement, “The solution set of the inequality
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
This shows that the polynomial has no real zeros. That implies that there are no key numbers.
So, this function never crosses the x -axis and asthe leading coefficient is positive so it always lies above the x -axis.
Hence, it can be said that the given inequality is true for all real numbers.
Conclusion:
The given statement is true.
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