Mark the correct alternative in each of the following: On the set Q + of all positive rational numbers a binary operation * is defined by for all a, b ∈ Q + . The inverse of 8 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=8 .

Given

….(1)

….(2)

⇒ is the required inverse element of a=8.

Mark the correct alternative in each of the following:On the set Q+ of all positive rational numbers a binary operation * is defined by for all a, b ∈ Q+. The inverse of 8 is

Mark the correct alternative in each of the following:
On the set Q⁺ of all positive rational numbers a binary operation * is defined by for all a, b ∈ Q⁺. The inverse of 8 is