Trigonometry/ Pre-Calculus Chapter P: Prerequisites Section P.5: Solving Inequalities Algebraically and Graphically

Properties of Inequalities As with an equation, you solve an inequality in the variable x by finding all values of x for which the inequality is true. The set of all real numbers that are solutions of an inequality is the solution set of the inequality. The set of all points on the real number line that represent the solution set is the graph of the inequality.

Intercepts of a Graph Transitive Property a < b and b < c  a < c Addition of Inequalities a < b and c < d  a + c < b + d Addition of a Constant a < b  a + c < b + c Multiplying by a Constant For c > 0, a < b  ac < bc For c bc