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. It’s true.
• Addition Property of Inequality
  a) 2 < 3
  Add the same number to both sides.
  2 + 1 < 3 + 1
  i.e. 3 < 4. It’s 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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