Given that in △ABC, sin2A+sin(A−B+C)=sin(C−A−B)+21, S is the area of △ABC, 1≤S≤2, let a,b,c be the opposite side of angle A,B,C respectively.
Which inequality always holds?
A. bc(b+c)>8
B. ab(a+b)>162
C. 6≤abc≤12
D. 12≤abc≤24
Have a look at my problem set: SAT 1000 problems