

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
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