1. Solving Inequalities Using Addition and Subtraction
Algebra 3-2

2. Equivalent inequalities – Inequalities with the same solutions
x + 4 < 7 and x < 3 are equivalent inequalities

3. Addition Property of Inequality
For every real number a, b, c
If a > b then a + c > b + c ex. 3 > 1  > 1 + 2
If a < b then a + c < b + c ex. -5 < 4 <
Property is also true for ≥ and ≤

4. Subtraction Property of Inequality
For every real number a, b, c
If a > b then a - c > b - c ex. 3 > -1  3 – 2 >
If a < b then a - c < b - c ex. -5 < 4  -5 – 2 < 4 - 2
Property is also true for ≥ and ≤