Concept explainers
Tofind:the reason absolute value equations can have no solution, one solution or two solutions.
Answer to Problem 57E
If the absolute value is greater than zero come up there will be one or two solutions.
Explanation of Solution
Given:
Absolute value equations.
Concept used:
Absolute value or modulus of a real number
Mathematically,
If domain
If domain
Calculation:
The absolute value of an expression must be greater than or equal to
The equation has no solution if it is equal to negative number.
Example:
If the absolute value is compared to
If the absolute value is greater than zero come up there will be one or two solutions.
The equation has two solution.
Another example:
Hence, If the absolute value is greater than zero come up there will be one or two solutions.
Chapter 1 Solutions
BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education