Question

Which ordered pair is a solution to the inequality? 2x-3y>6

Answer 1

Let's plug in each ordered pair in the inequality and check if it stands:

`\begin{gathered} 2x-3y>6 \\ \\ (3,2) \\ \rightarrow2(3)-3(2)>6\rightarrow6-6>6\rightarrow0>6\text{ }❌ \\ \\ (-2,-4) \\ \rightarrow2(-2)-3(-4)>6\rightarrow-4+12>6\rightarrow8>6\text{ }✅ \\ \\ (6,2) \\ \rightarrow2(6)-3(2)>6\rightarrow12-6>6\rightarrow6>6\text{ }❌ \\ \\ (4,1) \\ \rightarrow2(4)-3(1)>6\rightarrow8-3>6\rightarrow5>6\text{ }❌ \end{gathered}`

Thereby, the ordered pair that is a solution for the inequality is (-2,-4)