ANSWER :
The answer is (1, -1)
EXPLANATION :
From the problem, we have the inequality :
[tex]9x+3y\le6[/tex]We need to test the options and determine which point satisfies the inequality.
[tex]\begin{gathered} \text{For (1, -1)} \\ 9(1)+3(-1)\le6 \\ 9-3\le6 \\ 6\le6 \\ \text{True!} \end{gathered}[/tex][tex]\begin{gathered} \text{For (1, 3)} \\ 9(1)+3(3)\le6 \\ 9+6\le6 \\ 15\le6 \\ \text{False!} \end{gathered}[/tex][tex]\begin{gathered} \text{For (2, -2)} \\ 9(2)+3(-2)\le6 \\ 18-6\le6 \\ 12\le6 \\ \text{False!} \end{gathered}[/tex][tex]\begin{gathered} \text{For (1, 1)} \\ 9(1)+3(1)\le6 \\ 9+3\le6 \\ 12\le6 \\ \text{False!} \end{gathered}[/tex]The only option that satisfies the inequality is Option 1.