Linear inequalities in two variables describe relationships between two variables where one is greater than, less than, greater than or equal to, or less than or equal to some linear combination of the other variable and a constant. Examples of linear inequalities in two variables include x + y < 4, 2x - 3y ≥ 5, and -x + 2y ≠ 7. Graphically, linear inequalities in two variables define regions in the xy-plane where the given inequality is satisfied.

1. Linear Inequalities in
Two Variables