Question

If A # B means the same thing as 2 A- B, then 1 # ( (2 # 3 ) # 4) equals:

Answer 1

By definition of #,

2 # 3 = 2•2 - 3 = 4 - 3 = 1

(2 # 3) # 4 = 1 # 4 = 2•1 - 4 = 2 - 4 = -2

1 # ((2 # 3) # 4) = 1 # (-2) = 2•1 - (-2) = 2 + 2 = 4