If AintersectionB=B holds for all subsets B in universal set S, prove that A=S Problem on Sets #13

Show that e is an irrational number

Show that the set of all natural numbers N is not bounded above

Prove that A×(B-C)=(A×B)-(A×C)where A,B,C are subsets of a universal set S Problems on Set Theory#20

Prove that (A-B)×C = (A×C)-(B×C) where A,B,C are subsets of a universal set S Problems on Sets #19

Prove that A×(BUC) = (A×B)U(A×C) where A,B,C are subsets of a universal set S Problems on Sets #19

Prove that A×(B intersection C)=(A×B) intersection (A×C) Problems on Sets #18

If A symmetric difference B = C then prove that C intersection (A U B) = C Problem on Sets #17

If A symmetric difference B = C then prove that B intersection (C U A) = B Problem on Sets #16

If A symmetric difference B = C then prove that A intersection (B U C) = A Problem on Sets #15

A,B,C be subsets of a universal set S and AdeltaB=C then A=BdeltaC and B=CdeltaA problem on Sets #14

If AintersectionB=B holds for all subsets B in universal set S, prove that A=S Problem on Sets #13

If AUB = B holds for all subsets B, then prove that A = phi Problem on Sets#12