we have
[tex]y> -3x+2[/tex]
The solution is the shaded area above the dotted line
we know that
If a point is a solution of the inequality, then the coordinates of the point must satisfy the inequality
We will verify all cases to determine the solution of the problem
Case A) Point [tex](0,2)[/tex]
[tex]x=0\\y=2[/tex]
Substitute the value of x and y in the inequality and verify
[tex]2> -3*0+2[/tex]
[tex]2>2[/tex] -------> is not true
therefore
the point [tex](0,2)[/tex] is not a solution of the inequality
Case B) Point [tex](2,0)[/tex]
[tex]x=2\\y=0[/tex]
Substitute the value of x and y in the inequality and verify
[tex]0> -3*2+2[/tex]
[tex]0>-4[/tex] -------> is true
therefore
the point [tex](2,0)[/tex] is a solution of the inequality
Case C) Point [tex](1,-2)[/tex]
[tex]x=1\\y=-2[/tex]
Substitute the value of x and y in the inequality and verify
[tex]-2> -3*1+2[/tex]
[tex]-2>-1[/tex] -------> is not true
therefore
the point [tex](1,-2)[/tex] is not a solution of the inequality
Case D) Point [tex](-2,1)[/tex]
[tex]x=-2\\y=1[/tex]
Substitute the value of x and y in the inequality and verify
[tex]1> -3*(-2)+2[/tex]
[tex]1>8[/tex] -------> is not true
therefore
the point [tex](-2,1)[/tex] is not a solution of the inequality
therefore
the answer is the Point B
[tex](2,0)[/tex]
To better understand the problem see the attached figure
