Question

For each ordered pair (x, y), determine whether it is a solution to the inequality 6x-3y> -9. De Is it a solution? (x,y) Yes No (3 – 4) < (0, – 9) (2,7) O (-7. – 8) X Х $ ?

Answer 1

We have the following:

$6x-3y>-9$

replacing:

(3, -4)

$\begin{gathered} 6\cdot3-3\cdot-4>\: -9 \\ 18+12>-9 \\ 30>-9 \end{gathered}$

(3. 4) Yes, it is a solution

(0, -9)

$\begin{gathered} 6\cdot0-3\cdot-9>\: -9 \\ 0+27>-9 \\ 27>-9 \end{gathered}$

(0, -9) Yes, it is a solution

(2,7)

$\begin{gathered} 6\cdot2-3\cdot7>\: -9 \\ 12-21>-9 \\ -9>-9 \end{gathered}$

(2, 7) No, it is not a solution

(-7, -8)

$\begin{gathered} 6\cdot-7-3\cdot-8>\: -9 \\ -42+24>-9 \\ -18>-9 \end{gathered}$

(-7, -8) No, it is not a solution