1. Solving Inequalities by Adding or Subtracting
Course 2 2-9

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

3. Addition Property of Inequality
You can add the same value to each side of an inequality
Arithmetic Algebra
Since 7 > > If a > b then a + c > b + c
Since 1 < < If a < b then a + c < b + c
Property is also true for ≥ and ≤

4. Subtraction Property of Inequality
You can subtract the same value to each side of an inequality
Arithmetic Algebra
Since 7 > > If a > b then a - c > b - c
Since 1 < < If a < b then a - c < b - c
Property is also true for ≥ and ≤