Problem: Let * be a symbol denoting the binary operation on the set of all non-zero real numbers as follows: For any two numbers and of . Then the one of the following statements which is not true, is
Answer Choices:
A. * is commutative over
B. is an identity element for in
C. is associative over
D. Every element of S has an inverse for *
E. is an inverse for of the element a of
Solution:
which is not the identity element as required.