Mark the correct alternative in each of the following: Let * be a binary operation defined on Q + by the rule for all a, b ∈ Q + . The inverse of 4 * 6 is

Question

Philoid · Accepted Answer

As

=8

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

Given

⇒

⇒ e=3

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 .

Mark the correct alternative in each of the following:Let * be a binary operation defined on Q+ by the rule for all a, b ∈ Q+. The inverse of 4 * 6 is

Mark the correct alternative in each of the following:
Let * be a binary operation defined on Q⁺ by the rule for all a, b ∈ Q⁺. The inverse of 4 * 6 is