Question

if * is binary operation on the set R of real numbers Defined by a*b=a+b-2, then find the identity element for the binary operation*.

Answer 1

Given. a*b=a+b-2
let the Identity element be e
a*e = a = e*a
a*e = a
a+e-2 =a
e-2 =0
e = 2
so the Identity element is 2