Theorem 4( If `AsubeB`; Show that `AxxAsube(AxxB)nn(BxxA)`)

If A sube B, show that A xxbar(A)sube(A xx B)nn(B xx A)

sube B, then prove that AxxA sube (AxxB) nn (BxxA).

Theorem 7 (For any set A;B;C;D prove that (A xx B)nn(C xx D)=(A nn C)xx(B nn D)

Theorem 4 (Associative Laws)

Theorem 1 (ii) (For any three set A;B;C ; prove that A xx(B nn C)=(A xx B)nn(A xx C)

Statement 1: If AnnB=phi then n((AxxB)nn(BxxA))=0 Statement 2: A-(BuuC)=AnnB^'nnC^'

Let A and B be two sets having 3 elements in common. If n (A) = 5 and n (B) = 4 , then n((AxxB)nn(BxxA)) =

For any A sets A, B, C and D, prove that: (AxxB) nn (CxxD)=(A nnC)xx(BnnD)

Theorem 8( For any set A;B and C prove that A xx(B'uu C')'=(A xx B)nn(A xx C)

For any sets A and B .show that P(A nn B)=P(A)nn P(B)