Given two sets A and B, `A sub B` iff A \ B = `phi`.

Two sets A and B are disjoint iff

For any two sets A and B, prove that A sub B rArr A nn B=A

For given set A and B if A sub B and A ne B then set A is …..of set B.

Prove the following : A sub B iff A nn B=A .

Prove the following : A sub B iff A uu B=B .

For any two sets A and B, prove that A cup B= A cap B iff A = B .

Use logical method to prove the following : For any two sets A and B prove that A subseteq B iff B' subseteq A'

For any two sets A and B, prove that B sub A uu B

Use logical method to prove the following : For any two sets A and B prove that A - B = phi iff A subseteq B