MediumMathematics
+4 / -1
If A and B be two sets containing 4 and 7 elements respectively. What can be the minimum and maximum number of elements in A∪B?
A
3, 4
B
4, 7
C
7, 11
D
None of these
Explanation
As we know that, A∪B contains the union of both A and B, Thus, if A ⊂ B ⇒ A ∪ B = B = n(A ∪ B) = n(B) = 7 (Minimum value of A ∪ B). If A ∩ B = ϕ, then A ∪ B = n(A) + n(B) = 4 + 7 = 11 (Maximum value of A ∪ B). Hence the answer is 7, 11.
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