Let S be a non-empty set and `P(s)` be the power set of set S. Find the identity element for all union `()` as a binary operation on `P(S)dot`

Let S be a non-empty set and P(s) be the power set of set S. Find the identity element for all union U as a binary operation on P(S)dot

Define identity element for a binary operation defined on a set.

A binary operation on a set has always the identity element.

Let X be a non-empty set and let * be a binary operation on P(X) (the power set of set X) defined by A*B=AuuB for all A ,\ B in P(X) . Prove that * is both commutative and associative on P(X) . Find the identity element with respect to * on P(X) . Also, show that varphi in P(X) is the only invertible element of P(X)dot

If * defined on the set R of real numbers by a*b=(3a b)/7 , find the identity element in R for the binary operation *.

Let X be a nonempty set and *be a binary operation on P(X), the power set of X, defined by A * B=A nn B for all A, B in P(X). (

Let A be any non-empty set. Then, prove that the identity function on set A is a bijection.

Let A be any non-empty set. Then, prove that the identity function on set A is a bijection.

Let * be a binary operation defined on set Q-{1} by the rule a * b=a+b-a b . Then, the identity element for * is

If * defined on the set R of real numbers by a*b= (3a b)/7 , find the identity element in R for the binary operation *.