alleryStart learning →How many elements can belong to both A and its complement in the same universe?
A0
B2
C1
D3
Answer & Solution
Correct answer: A. 0
An element cannot both belong to A and lie outside A, so the common-element count is zero.
Keep practising Sets
Browse all Sets questions for ICSE Class 8, or explore more Mathematics topics.
Related questions
U={1,2,3,4,5}, A={1,3}, (A∪B)′={4,5} and A∩B={3}. What is B?A, B ⊆ U and all complements use U. Which expression equals (A ∩ B)′?For x ∈ U and A, B ⊆ U, which condition is equivalent to x ∉ A ∪ B?A = {1, 2}, B = {2, 3}, C = {1, 3}. Each pair overlaps. What is A ∩ B ∩ C?Every element of A lies in B, and B ⊆ U. Complements use U. Which statement must hold?A universe has 20 elements. A has 14 and B has 11. What is the full possible range for theIf A ∪ B = A ∩ B, which conclusion must be true?A, B ⊆ U satisfy A ∩ B = ∅ and A ∪ B = U. Which equality must hold?