Prove that `A sube B, Bsube C` and `C sube A => 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 A sube B and B sube A then A=B

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

If A sube B, prove that A xx C sube B xx C for any set C.

If A sube B and B sube C , then

Show that :A sube B rArr A-C sube B-C

Prove that (i) A nn B sube A( ii) A nn B sube B( iii) If C sube A and C subebar(B), then C sube A nn B( iv )A=B rArr A nn C=B nn C for any set C, (v) If B sube A, then A nn B=B and conversely.

(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.