Advertisements
Advertisements
Question
If A = {5, 6, 7, 8, 9}, B = {x : 3 < x < 8 and x ∈ W} and C = {x : x ≤ 5 and x ∈ N}. Find:
B ∩ C and A ∩ (B ∩ C)
Is (A ∪ B) ∪ C = A ∪ (B ∪ C)?
Is (A ∩ B) ∩ C = A ∩ (B ∩ C)?
Solution
A = (5, 6, 7, 8, 9)
B = (4, 5. 6, 7)
C = (1, 2, 3, 4, 5)
B ∩ C = (4, 5)
A ∩ (B ∩ C) = (5)
(A ∪ B) ∪ C = (1, 2, 3, 4, 5, 6, 7, 8, 9)
A ∪ (B ∪ C) = (1, 2, 3, 4, 5, 6, 7, 8, 9)
Yes, these are equal.
(A ∩ B) ∩ C = {5}
A ∩ (B ∩ C) = {5}
Yes, these are equal.
APPEARS IN
RELATED QUESTIONS
Given A = {x : x ∈ N and 3 < x ≤ 6} and B = {x : x ∈ W and x < 4}. Find : Sets A and B in roster form.
Given A = {x : x ∈ N and 3 < x ~ 6} and 8 = {x : x ∈ W and x < 4}. Find: B - A.
If P = {x : x ∈ W and 4 ≤ x ≤ 8}, and Q = {x : x ∈ N and x < 6}. Find: P ∪ Q and P ∩ Q.
If P = {x : x ∈ W and 4 ≤ x ≤ 8}, and Q = {x : x ∈ N and x < 6}. Find: Is (P ∪ Q) ⊃ (P ∩ Q)?
If A = {5, 6, 7, 8, 9}, B = {x : 3 < x < 8 and x ∈ W} and C = {x : x ≤ 5 and x ∈ N}.
Find: A ∪ B and (A ∪ B) ∪ C
If A = {5, 6, 7, 8, 9}, B = {x : 3 < x < 8 and x ∈ W} and C = {x : x ≤ 5 and x ∈ N}. Find:
A ∩ B and (A ∩ B) ∩ C
If A = {x ∈ W : 5 < x < 10}, B = {3, 4, 5, 6, 7} and C = {x = 2n; n ∈ N and n ≤4}. Find:
A ∩ (B ∪ C)
If A = {x ∈ W : 5 < x < 10}, B = {3, 4, 5, 6, 7} and C = {x = 2n; n ∈ N and n ≤4}. Find:
(B ∪ A) ∩ (B ∪ C)
If A = {x ∈ W : 5 < x < 10}, B = {3, 4, 5, 6, 7} and C = {x = 2n; n ∈ N and n ≤4}. Find:
(A ∩ B) ∪ (A ∩ C)
If P = {factors of 36} and Q = {factors of 48}; Find: P ∩ Q
