Let * be a binary operation on R − {−1} defined by a * b = a + b + ab. The identity element for * is:
Let * be a binary operation on R − {−1} defined by a * b = a + b + ab. The identity element for * is:
- A. −1
- B. 1
- C. 0
- D. Does not exist
Answer: C) 0
Explanation: Let e be the identity. a * e = a implies a + e + ae = a → e(1 + a) = 0. Since a ≠ −1, we must have e = 0.
0 Answers
Log in to post your own answer or join the discussion.
No comments yet — start the discussion.