Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Let X and Y be two sets.
Statement-1 X ∩ (Y ∪ X)' = φ
Statement-2 If X ∪ Y has m elements and X ∩ Y has n elements then symmetric difference X Δ Y
has m – n elements.
Text Solution
Verified by ExpertsThe correct answer is:
A
Sol. X ∩ (Y ∪ X)' = X ∩ (Y' ∩ X') = X ∩ X' ∩ Y' = φ
⇒ Statement – 1 true.
X Δ Y = (X ~ Y) ∪ (Y ~ X) = (X ∪ Y) ~ (X ∩ Y)
⇒ number of element in X Δ Y = m – n.
⇒ Statement-2 is true but does explain statement-1
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