This document contains notes from a math lesson on properties of inequalities. It includes examples of how the inequality symbol is preserved or reversed when operations like addition, subtraction, multiplication, and division are performed. The key points are:
- When adding or subtracting any numbers, or multiplying/dividing by a positive number, the inequality symbol stays the same (is preserved).
- When multiplying or dividing by a negative number, the inequality symbol reverses (a > becomes a < or vice versa).
- In summary, the inequality symbol preserves when adding, subtracting, and multiplying/dividing by a positive. It reverses when multiplying or dividing by a negative number.