If A {x : x ϵ N and 3 < x < 1} and B = {x : x ϵ Wand x ≤ 4}, find
(i) A ∪ B
(ii) A ∩ B
(iii) A – B
(iv) B – A
Solution:
If P = {x : x ϵ W and x < 6} and Q = {x : x ϵ N and 4 ≤ x ≤ 9}, find
(i) P ∪ Q
(ii) P ∩ Q
(iii) P – Q
(iv) Q – P
Is P ∪ Q a proper superset of P ∩ Q ?
Solution:
More Solutions:
- A = {0, 1, 2, 3, …….., 8}, B = {3, 5, 7, 9, 11} and C = {0, 5, 10, 20}, find B ∪ C
- If A = (letters of word INTEGRITY) and B = (letters of word RECKONING)
- n(A ∪ B) = B (A) + n(B) – n(A ∩ B)
- If ξ ={1,2, 3, …. 9}, A = {1, 2, 3, 4, 6, 7, 8} and B = {4, 6, 8}, then find.
- If 4 = {x : x ϵ W, x ≤ 10}, A. = {x : x ≥ 5} and B = {x : 3 ≤ x < 8}
- If n(A) = 20, n(B) = 16 and n(A ∪ B) = 30, find n(A ∩ B).
- If n(ξ) = 32, n(A) = 20, n(B) = 16 and n((A ∪ B)’) = 4
- If n(A – B) = 12, n(B – A) = 16 and n(A ∩ B) = 5