Question 16
Binary OperationsAn operation is defined on the set of real numbers by a * b = a + b + 1. If the identity element is −1, find the inverse of the element 2 under *.
- A.−4
- B.−2
- C.0
- D.4
Show the answer and explanation
Answer: A (−4)
Explanation
The inverse b satisfies 2 * b = −1 (the identity). So 2 + b + 1 = −1, giving b = −4.