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प्रश्न
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)?
उत्तर
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.
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