Mark the correct alternative in each of the following:
Q+ denote the set of all positive rational numbers. If the binary operation on Q+ is defined as a
, then the inverse of 3 is
For Identity element a * e = a = e * a, with ‘e’ being the identity element.
Given
⇒
⇒
For Inverse element a * b = e = b * a , with ‘b’ being the inverse element ‘a’.
Given
Now for a = 3
⇒ ….(1)
⇒ ….(2)
⇒ is the required inverse element of a=3.