- Multiply both sides by the Least Common Denominator (LCD) to reduce fractions.
- Use the Distributive Property to remove parentheses.
- Combine Like Terms
- Use Addition or Subtraction to move all the variable terms to the same side (Left Side).
- Use Addition or Subtraction to move all the non-variable terms (number terms) to the other side (Right Side).
- Divide both sides by the Coefficient.

- Whenever you multiply or divide both sides by a negative number, flip the direction of the inequality.

Possible results when solving a Two-Sided Linear Inequality:

- Variable <, >, ≤, ≥, number
- Solution is the result of the solving process
- All the variables are eliminated leaving a False Statement
- No Solution
- All the variables are eliminated leaving a True Statement
- All Real Numbers

Examples

x > -2

y ≤ 0

Examples

0 ≥ 4

0 < -2

Examples

0 > -2

3 < 5