Inequalities in Two Variables

Question

Which ordered pairs are solutions to the inequality   −2x+3y≥3 ?

Answer 1

-2x + 3y ≥ 3

3y ≥ 2x + 3

y ≥ (2/3)x + 1

Graph the line y = (2/3)x + 1

Any point on that line or above the line will work.

Answer 2

Substitute each pair. If the pair makes the inequality true it is a solution. That is the definition of a solution.