Mark the correct alternative in each of the following: Let * be a binary operation on N defined by a * b = a + b + 10 for all a, b ∈ N. The identity element for * in N is

Question

Philoid · Accepted Answer

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

Given a * b = a + b + 10

⇒ a * e =a+e+10=a

⇒ e=-10 (Not a Natural number)

Mark the correct alternative in each of the following:Let * be a binary operation on N defined by a * b = a + b + 10 for all a, b ∈ N. The identity element for * in N is

Mark the correct alternative in each of the following:
Let * be a binary operation on N defined by a * b = a + b + 10 for all a, b ∈ N. The identity element for * in N is