This document contains notes from a math lesson on inequalities and triangle theorems. It discusses the triangle inequality theorem, which states that the sum of any two side lengths of a triangle is greater than the third side. It also covers the hinge theorem and its converse, which relate to comparing side lengths of triangles based on included angles. Examples are provided to illustrate how to apply these theorems to determine possible side lengths. The document concludes with a homework assignment to complete a worksheet on inequalities and these triangle theorems.