Addition Property Of Equality And Inequality
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Addition Property of Equality and Inequality
Definition of Addition Property of Equality and Inequality
- Addition Property of Equality:
If the same number is added to both sides of an equation the two sides remain equal. That is
if x = y then x z = y z.
- Addition Property of Inequality:
Adding the same number to both sides of an inequality does not affect the inequality. That is
if x > y then x z > y z and
if x < y then x z < y z.
Examples of Addition Property of Equality and Inequality
- Addition Property of Equality
a 3 = 3
Add the same number to both sides.
3 2 = 3 2. Its true. - Addition Property of Inequality
a 2 < 3
Add the same number to both sides.
2 1 < 3 1
i.e. 3 < 4. Its true.
Solved Example on Addition Property of Equality and Inequality
- Solve for x:
x 5 = 12
Choices:
A. 7
B. 17
C. 7
D. 2.4
Correct Answer: B
Solution:
Step 1: x 5 = 12
Step 2: x 5 5 = 12 5
Step 3: x = 17
Related Terms for Addition Property of Equality and Inequality
- Equality
- Inequality
- Equation
Additional Links for Addition Property of Equality and Inequality
About the writer: I am the parent of two adults with disabilities and have been an educational advocate for over 15 years. My recently released book “Disability Deception; Lies Disability Educators Tell and How Parents Can Beat Them at Their Own Game” will help parents learn advocacy skills to help their child receive an appropriate education. Check out my Web site at www.disabilitydeception.com.
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