If `A sub B,` then `(A' nn B') = ?`

If A sub B, then P(A nn B^(c))=

If A sub B , then A cup B = ?

If A sub B , then A cap B = ?

If A sub B , then A cap B = ?

If A sub B then P(A)sub P(B)

For all sets A, B and C, if A sub B , then A nn C sub B nn C .

For all sets A, B and C, if A sub B , then A nn C sub B nn 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.