Solutions of a System of Linear Inequalities

Definition:

  • Solutions of a system of linear inequalities are solutions that satisfy both or more of the inequalities in the system. The solutions are where the shaded regions overlap.

The solutions are the overlapping regions

y ≤ -(1/2)x +3

y < (2/3)x - 1

There is no solution to the system

y ≥ x + 2

y < x - 3