The given inequality is
[tex]y>3x-2[/tex]
We have to evaluate each point in order to determine which one is a solution, and which one is not. Remember that the first number of a pair represents the value for x, and the second number represents the value for y.
(-7, 4).
[tex]\begin{gathered} 4>3(-7)-2 \\ 4>-21-2 \\ 4>-23 \end{gathered}[/tex]
Notice that the result is true, 4 is more than -23. Hence, (-7, 4) is a solution.
(1, 0).
[tex]\begin{gathered} 0>3(1)-2 \\ 0>3-2 \\ 0>1 \end{gathered}[/tex]
Zero is not more than 1, this result is false, which means (1,0) is not a solution.
(1, 6).
[tex]\begin{gathered} 6>3(1)-2 \\ 6>3-2 \\ 6>1 \end{gathered}[/tex]
This result is true because 6 is greater than 1. Therefore, (1,6) is a solution.
(0, -2).
[tex]\begin{gathered} -2>3(0)-2 \\ -2>-2 \end{gathered}[/tex]
-2 is not greater than -2, they are equal, so (0, -2) is not a solution.
(4, -4).
[tex]\begin{gathered} -4>3(4)-2 \\ -4>12-2 \\ -4>10 \end{gathered}[/tex]
-4 is not greater than 10, this result is false. Therefore, (4, -4) is not a solution.
In sum, the solutions are (-7, 4) and (1, 6).
