To find: Make up an inequality that has no solution. Make up one that has exactly one solution.
Answer to Problem 128AYU
Isolate the absolute value by subtracting 9 from both sides of the inequality.
The absolute value of a quantity can never be a negative number, so there is no solution to the inequality.
has no real solution
Subtract on both sides we get , the square value never be negative, so there is no solution to the inequality.
has exactly one solution. The only solution for this is . (Unless is complex.)
Explanation of Solution
Isolate the absolute value by subtracting 9 from both sides of the inequality.
The absolute value of a quantity can never be a negative number, so there is no solution to the inequality.
has no real solution
Subtract on both sides we get , the square value never be negative, so there is no solution to the inequality.
has exactly one solution. The only solution for this is . (Unless is complex.)
Chapter A.9 Solutions
Precalculus Enhanced with Graphing Utilities
Additional Math Textbook Solutions
Calculus: Early Transcendentals (3rd Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
Precalculus (10th Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (2nd Edition)
- 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