" 5.If "A nn B'=phi" then prove that."A sube B

If A nnn B'=phi then prove that A=A nn B and hence show that A sube B .

If A nn C=phi, then prove that (A xx B)nn(C xx B)=phi

If A-B=O/ Prove that A sube B

If A uu B=A nn B, prove that A=B

If A nn B^(c)= phi , show that A sub B .

If A nn B= O/ . Prove that A - B = A

If A sube B and C be any set , then prove that: A xx C sube B xx C

If A sube B and C be any set , then prove that: A xx C sube B xx C

(i) If A sube B , prove that A xx A sube (A xx B) nn (B xx A) (ii) If A sube B , prove that A xx C sube B xx C for any set C.

If A sube B and C sube D , then prove that: A xx C sube B xx D