Concept explainers
To explain:the reason of having no solution, one solution, or two solutions
Answer to Problem 57E
If the absolute value is compared to 0, there will be one solution.
If the absolute value is greaterthan zero come up there will be one or two solutions.
The equation has no solution ifit is equal to a negative number.
Explanation of Solution
Given:
Absolute value equations can have no solution, one solution, or two solutions.
Calculation:
Example:
The absolute value of anexpression must be greaterthan or equal to 0
or
The equation has no solution ifit is equal to a negative number.
Isolate the absolute value
Example:
If the absolute value is compared to 0, there will be one solution.
Example:
If the absolute value is greaterthan zero come up there will be one or two solutions.
And
This equation has two solutions.
Another example:
And
This equation has one solution
Conclusion:
The reason of having no solution, one solution, or two solutions is explained.
Chapter 1 Solutions
BIG IDEAS MATH Integrated Math 1: Student Edition 2016
- Discrete Mathematics and Its Applications ( 8th I...MathISBN:9781259676512Author:Kenneth H RosenPublisher:McGraw-Hill EducationMathematics for Elementary Teachers with Activiti...MathISBN:9780134392790Author:Beckmann, SybillaPublisher:PEARSON
- Thinking Mathematically (7th Edition)MathISBN:9780134683713Author:Robert F. BlitzerPublisher:PEARSONDiscrete Mathematics With ApplicationsMathISBN:9781337694193Author:EPP, Susanna S.Publisher:Cengage Learning,Pathways To Math Literacy (looseleaf)MathISBN:9781259985607Author:David Sobecki Professor, Brian A. MercerPublisher:McGraw-Hill Education