To find: The comparison and contrast between multiplication property of equality and the multiplication property of inequality.
Answer to Problem 26CT
The multiplication property of equality states that in an equation when a positive or negative number is multiplied in both sides of the equation, the value of the equation remains the same and the multiplication property of inequality states that in an inequality, when a positive number is multiplied in both sides of the inequality, there is no change in the inequality symbol.
Explanation of Solution
Given:
Multiplication property of equality and the multiplication property of inequality.
Concept used:
Multiplication property of equality:
The multiplication property of equality states that in an equation when a positive or negative number is multiplied in both sides of the equation, the value of the equation remains the same.
There is no change in the symbol
Multiplication property of inequality:
For all numbers
If
If
If
If
Calculation:
Multiplication property of equality:
The multiplication property of equality states that in an equation when a positive or negative number is multiplied in both sides of the equation, the value of the equation remains the same.
There is no change in the symbol
Multiplication property of inequality:
The multiplication property of inequality states that in an inequality, when a positive number is multiplied in both sides of the inequality, there is no change in the inequality symbol. When a negative number is multiplied in both sides of the inequality m, the inequality symbol gets reversed.
Multiplication property of inequality:
For all numbers
If
If
If
If
Hence, the multiplication property of equality states that in an equation when a positive or negative number is multiplied in both sides of the equation, the value of the equation remains the same and the multiplication property of inequality states that in an inequality, when a positive number is multiplied in both sides of the inequality, there is no change in the inequality symbol.
Chapter 3 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
Additional Math Textbook Solutions
Elementary Algebra
College Algebra (7th Edition)
Linear Algebra with Applications (9th Edition) (Featured Titles for Linear Algebra (Introductory))
Elementary Algebra: Concepts and Applications (10th Edition)
Linear Algebra and Its Applications (5th Edition)
Differential Equations and Linear Algebra (4th Edition)
- 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