ToSolve: The inequality
Answer to Problem 32E
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
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 | |
Negative | |||
Positive | |||
Negative |
The inequality is satisfied for all the
At end points
At
Inequality satisfies
At
Inequality satisfies
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