Definitions System of linear inequalities in two variables consists of two or more linear inequalities in the same variables. Solution of a system of linear inequalities is any ordered pair that is a solution of each inequality in the system.
Example 1: Check whether (4, 2) is a solution of the system of inequalities. a. x + y > -2b. x – 3y < 4 x – y > 4 x > 1
Checkpoint: Check whether (3, -1) is a solution of the system of inequalities. 1. x + y > 12. -2x + y 4 y 6 3x + 4y > 8
Definition: Graph of a system of linear inequalities shows all solutions of the system.