ANSWER
Option C
EXPLANATION
The given inequality is
[tex]y - 3 \: > \: 2x + 2[/tex]
We add 3 to both sides to get,
[tex]y \: > \: 2x + 2 + 3[/tex]
[tex]y \: > \: 2x +5[/tex]
The corresponding linear equation is
[tex]y = 2x + 5[/tex]
This becomes the dashed boundary line of the inequality.
We test the origin to determine which half plane to shade.
[tex]0\: > \: 2(0)+5[/tex]
[tex]0\: > \: 5[/tex]
This is false.
Hence we shade the upper half plane.
The correct answer is C
