Question

If a ${}^{\ast }$ b = a = b ${}^{\ast }$ a, then b is called the inverse of a under the operation ${}^{\ast }$

• A. True
• B. False

Answer 1

The correct option is B

False

This question checks if you are clear with the definition of inverse element. If e is the identity of ${}^{\ast }$ and a ${}^{\ast }$ b = e = b ${}^{\ast }$ a , then b is called the inverse of a. But we are given a ${}^{\ast }$ b = a = b ${}^{\ast }$ a, which is wrong