" Ras thet "A sube B,BCC" and "CCA rarr A=C

Prove that A sube B,B sube C and C sube A rArr A=C

Prove that A sube B,B sube C rArr A sube C

If sube B, then A\B is

Prove that A sube B,B sube C and C sube Aimplies A=C .

If A sube B and B sube A then A=B

Prove the following,for sets A,B,C(i)A sube B,B sube C rArr A sube C(ii)A sube B hArr A uu B=B,A sube B hArr A nn B=A

Prove that : (i) A sube B,B sube C rArrA sube C (ii) A sube phi, hArr A = phi

Prove that : (i) A sube B,B sube C rArrA sube C (ii) A sube phi, hArr A = phi

Let A,B and C be sets such that A nn B sube C and A nn B!=phi. Then which of the following statements is not true?

Let A=(a,b,c) and B-(a,b,d,e,f). How many sets C consising of characters from the English alphabet can be constructed so that C sube B and such that A nn C also has one element and C!sube A.