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

Question

Philoid · Accepted Answer

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.

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

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