Given a non -empty set X, let `*: P(X) xx P(X) ->P(X)`be defined as `A *B = (A - B) uu(B - A), AAA , B in P(X)`. Show that the empty set `varphi`is the identity for the operation * and all the elements A of P(A) are invertible with` A^-1`=A

Given a non -empty set X, let **: P(X) xx P(X) ->P(X) be defined as A **B = (A - B) uu(B - A), AAA , B in P(X) . Show that the empty set varphi is the identity for the operation ** and all the elements A of P(A) are invertible with A^-1 =A

Given a non-empty set X, let **: P(X) xx P (X) to P (X) be defined as A **B = (A-B) uu (B-A) , AA A, B in P (X). Show that the empty set phi is the identity for the opertion ** and all the elements A of P (X) are invertible with A ^(-1) =A.

Given a non-empty set X, let **: P(X) xx P (X) to P (X) be defined as A **B = (A-B) uu (B-A) , AA A, B in P (X). Show that the empty set phi is the identity for the opertion ** and all the elements A of P (X) are invertible with A ^(-1) =A.

Given a non-empty set X, let * : P(X)xxP(X)rarrP(X) , be defined as A * B = (A – B) cup (B – A), forall A, B in P(X) .Show that the empty set phi is the identity for the operation * and all the elements A of P(X) are invertible with A^–1 = A .

Given a non-empty set X, Let *: P(x) xx P(x) be defined as A**B =(A-B) cup (B-A), AA A,B in P(x) . Show that the empty set phi is the identity for the operation * and all the elements A of p(x) are invertible with A^(-1)=A .

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=(A-B)uu(B-A) for all A,B in P(X) .Show that varphi is the identity element for * on P(X) .

Given a non-empty set X, consider the binary operation *: P(X)xx P(X) ->P(X) given by A" "*" "B" "=" "AnnB AAA ," "B" "in" "P(X) is the power set of X. Show that X is the identity element for this operation and X is the only invertible element i

Given a non - empty set, X , consider the binary operation ** : P(X) xxP(X) rarr P(X) given by A **B = Acap B , AAA,B in P(X) , where P(X) is the power set X. Show that X is the identity element for this operation and X is the only invertible element in P(X) with respect to the operation ** .

Given a non - empty set, X , consider the binary operation ** : P(X) xxP(X) rarr P(X) given by A **B = Acap B , AAA,B in P(X) , where P(X) is the power set X. Show that X is the identity element for this operation and X is the only invertible element in P(X) with respect to the operation ** .