This document contains notes from a math lesson on properties of inequalities. It includes examples of how inequalities are preserved or reversed when operations are performed on both sides. An inequality is preserved when the inequality symbol stays the same, and reversed when it switches, such as greater than becoming less than. The key points are that multiplying or dividing by a negative number reverses an inequality, while adding or subtracting any number or multiplying/dividing by a positive preserves it.
