ToSolve: The inequality
Answer to Problem 25E
Thesolution set of the given inequality is
Graph of the solution set is
Explanation of Solution
Given:
The inequality
Concept Used:
Solving an inequality means, finding all the values of the variable for which inequality satisfy.
Calculation:
Given the inequality
Simplifying the inequality, we have
Consider
That is
The key numbers are
The test intervals are
Evaluating the left side of the inequality (polynomial value) for a
Test Interval | Polynomial Value | Conclusion | |
Positive | |||
Negative | |||
Positive |
The inequality is satisfied for all the
Therefore, the solution set of the given inequality is
Plotting all the points of the solutions set on the graph, we have:
Conclusion:
Thesolution set of the given inequality is
Graph of the solution set is
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