Mark the correct alternative in each of the following: Q + is the set of all positive rational numbers with the binary operation * defined by for all a, b, ∈ Q + . The inverse of an element a ∈ Q + is

Question

Philoid · Accepted Answer

For Identity element a * e = a = e * a , with ‘e’ being the identity element.

Given

⇒

⇒ e=2

For Inverse element a * b = e = b * a , with ‘b’ being the inverse element ‘a’.

Given

….(1)

….(2)

is the required inverse element of a.

Mark the correct alternative in each of the following:Q+ is the set of all positive rational numbers with the binary operation * defined by for all a, b, ∈ Q+. The inverse of an element a ∈ Q+ is

Mark the correct alternative in each of the following:
Q⁺ is the set of all positive rational numbers with the binary operation * defined by for all a, b, ∈ Q⁺. The inverse of an element a ∈ Q⁺ is