The correct answer C.
EXPLANATION
[tex]y<23x[/tex] is the inequality with the broken line.
Testing the point [tex](1,0)[/tex] gives
[tex]0<23(1)[/tex] or [tex]0<23[/tex]
This statement is true so we shade the lower half-plane.
[tex]y\ge -x+2[/tex] is the solid line.
We test the origin [tex](0,0)[/tex].
This gives us,
[tex]0\ge 0+2[/tex]
[tex]0\ge 2[/tex]
This statement is false so we shade the upper half-plane.
The intersection of the two regions is the region graphed in C.
