Question

An element is said to be invertible only if there is an identity element in that binary operation.

(a) True

(b) False

I have been asked this question in quiz.

I'm obligated to ask this question of Binary Operations topic in division Relations and Functions of Mathematics – Class 12

Answer 1

The correct option is (a) True

The best I can explain: The given statement is true. If there is a binary operation *:M×M → M with an identity element a∈ M is said to be invertible with respect to the binary operation * if there exists an element b ∈ M such that a*b = e = b*a, b is called inverse of a.