Applying set operations, prove that, 2+3 = 5.

Using set operation, prove that 3 + 4 = 7.

Applying Set Algebra, prove the : Acup(B-A) =AcupB

Applying Set Algebra, prove the : (AcapB) -C=(A-C) cap(B-C)

Applying Set Algebra, prove the : Acap(B-A)=phi

Applying Set Algebra, prove the : (AcupB)-C=(A-C) cup(B-C)

Let A be a non-empty set and S be the set of all functions from A to itself. Prove that the composition of functions 'o' is a non-commutative binary operation on Sdot Also, prove that 'o' is an associative binary operation on Sdot

Let A be a non-empty set and S be the set of all functions from A to itself. Prove that the composition of functions 'o' is a non-commutative binary operation on Sdot Also, prove that 'o' is an associative binary operation on Sdot

Applying the laws of algebra of sets, prove that, (A cupB)cap A=A

Consider the binary operation ** on the set {1, 2, 3, 4 5} defined by a ** b = min (a, b). Write operation table of operation ** .

Applying the laws of algebra of sets, prove that, A-B=B^c-A^c