Consider a binary operation * on the set {1, 2, 3, 4, 5} defined by a * b = max(a, b). The identity element for this operation is:
Consider a binary operation * on the set {1, 2, 3, 4, 5} defined by a * b = max(a, b). The identity element for this operation is:
- A. 1
- B. 5
- C. 0
- D. Does not exist
Answer: A) 1
Explanation: We need max(a, e) = a for all a in the set. Since 1 is the minimum element of the set, max(a, 1) = a for any a. Thus, 1 is the identity element.
0 Answers
Log in to post your own answer or join the discussion.
No comments yet — start the discussion.