If the operation Θ is defined for all integers A and B by A Θ B = A + B - AB, which of the following statements must be true for all integers A, B and C?
I. A Θ B = B Θ A
II. A Θ 0 = A
III. (A Θ B) Θ C = A Θ (B Θ C)
A) I only
B) II only
C) I and II only
D) I and III only
E) I, II and III
Answer to be posted later.
I. A Θ B = B Θ A
II. A Θ 0 = A
III. (A Θ B) Θ C = A Θ (B Θ C)
A) I only
B) II only
C) I and II only
D) I and III only
E) I, II and III
Answer to be posted later.
