we have that


using a graphing tool
the solution is the shaded area with vertices (0,0) (0,16) (6,10) and (14,0)
therefore
Verify each ordered pair
A(0,17) ------> not lie in the shaded region
B(10,12) -----> not lie in the shaded region
C(7,8) -----> lie in the shaded region
D(16,0) ----> not lie in the shaded region
therefore
the answer is C