Is it true that for any sets A and B,`P(A)uuP(B)=P(AuuB)?Justify your answer.

For any set A and B prove that : (A-B)uuB=AuuB .

Applying the axiom of equality of two sets prove the identiti for any two sets A and B. B uu (A-B) = A uu B .

Applying the axiom of equality of two sets prove the identiti for any two sets A and B. A uu (A uu B)=A uu B

Applying the axiom of equality of two sets prove the identiti for any two sets A and B. A uu (B-A)= A uu B

For any two sets A and B prove that A nn (AuuB)=A

Applying the axiom of equality of two sets prove the identiti for any two sets A and B. A uu (A' nn B) = A uu B

For any two sets A and B, prove that P(A nn B)=P(A) nn P(B)

Applying the properties of sets prove the identity for any three sets A, B and C. A-(B nn C)=(A-B) uu (A-C)

Applying the axiom of equality of two sets prove the identiti for any two sets A and B. A nn (A' uu B) = A nn B

Is pi a rational or irrational? Justify your answer.