Question

Which ordered pair is a solution to the system of inequalities below

Answer 1

The system of inequalities is

`\begin{gathered} 6x-3y\ge9 \\ 11x-3y<6+2x \end{gathered}`

we will substitute the coordinates of each given points to find which one is the solution

∵ The 1st answer is (-4, -12)

∴ x = -4 and y = -12

We will substitute x by -4 and y by -12 and see if the inequality is right or wrong

`\begin{gathered} \because6(-4)-3(-12)\ge9 \\ \therefore-24+36\ge9 \\ \therefore12>9 \end{gathered}`
`\begin{gathered} \because11(-4)-3(-12)<6+2(-4) \\ \therefore-44+36<6-8 \\ \therefore-8<-2 \end{gathered}`

Both inequalities are right, then the answer is A