The given inequality is
[tex]y\ge-3x+4[/tex]To know which coordinated pair is the solution, we have to evaluate the inequality for each of them.
A(1, -1)
[tex]\begin{gathered} -1\ge-3(1)+4 \\ -1\ge-3+4 \\ -1\ge1 \end{gathered}[/tex]This result is false because -1 is not more than 1.
B(2,1)
[tex]\begin{gathered} 1\ge-3(2)+4 \\ 1\ge-6+4 \\ 1\ge-2 \end{gathered}[/tex]This result is true because 1 is more than -2.