Draw a Venn-diagram to show the re-lationship between two sets A and B ; such that A⊆B, Now shade the region representing :
(i) A∪B
(ii) B′∩A
(iii) A∩B
(iv) (A∪B)′
(i) A∪B =
(ii) B′∩A =
(iii) A∩B =
(iv) (A∪B)′ =
Two sets A and B are such that A ∩B=ϕ. Draw a venn-diagram to show the relationship between A and B. Shade the region representing :
(i) A ∪ B
(ii) (A ∪ B)'
(iii) B - A
(iv) B ∩ A'
For any two sets A and B, show that the following statements are equivalent :
(i) A⊂B (ii) A−B=ϕ
(iii) A∪B=B (iv) A∩B=A.