दिखाइए की निम्नलिखित चार प्रतिबन्ध तुल्य है:
(i) `AsubB` (ii) `A-B=phi` (iii) `AsubB=B` (iv) `AcapB=A`

Show that the following four conditions are equivalent : (i) A sub B (ii) A - B = phi (iii) A cup B = B (iv) A cap B = A .

Show that the following four conditions are equivalent : (i) A sub B (ii) A -B = phi (iii) A uu B = B (iv) A nn B = A

Prove that : (a) (i) Asub(AuuB) (ii) Bsub(AuuB) (b) (i) (AcapB)subA (ii) (AcapB)subB .

FOR ANY TWO SETS Aa n dB , show that the following statements are equivalent: AsubB (ii) A-B=varphi (iii) AuuB=B (iv) AnnB=Adot

FOR ANY TWO SETS Aa n dB , show that the following statements are equivalent: AsubB (ii) A-B=varphi (iii) AuuB=B (iv) AnnB=Adot

If A and B are subsets of the universal set U , then shown that : (i) BsubAuuB (ii) (AcapB)subA (iii) (AcapB)subB (iv) Auu(AcapB)=A (v) Acap(AuuB)=A .

Show that the following four conditions are equivalent:(i) Asub B (ii) A B =varphi (iii) A uuB = B (iv) A nnB = A

Show that the following four conditions are equivalent: i) A sub B ii) A-B=phi iii) A uu B=B iv) A nn B= A

Use the given Venn-diagram to find: (i) B-A (ii) A (iii) B' (iv) A cap B (v) A cup B

For any two sets A and B, prove that : (i) (AcupB)-A=B-A (ii) (A-B)capA=AcapB' (iii) A capB' = phi rArr A sube B (iv) A' cupB=UrArrA subeB .