- Comparison property
- Solving linear inequalities
- inequality symbol
- addition property of inequality
- multiplication property of inequality
- procedure for solving a linear inequality
6.5 Essential Ideas
For any two numbers x and y, exactly one of the following is true:
- x = y, x is equal to y (the same as)
- x > y, x is greater than y (larger than)
- x < y, x is less than y (smaller than).
Given x < y, x ≤ y, x > y, or x ≥ y:
The inequality symbols are the same if you
- add the same number to both side.
- subtract the same number from both sides.
- multiply both sides by a positive number.
- divide both sides by a positive number.
The inequality symbols are reversed if you
- 1. multiply both sides by a negative number.
- divide both sides by a negative number.
- interchange the x and y.