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Questions  

Let X and Y be two sets.

Statement 1:X(YX)=ϕ

Statement 2:  If X Y has m elements and X Y has n elements then symmetric difference X  Y has m  n elements.

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By Expert Faculty of Sri Chaitanya
a
STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1
b
STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1
c
STATEMENT-1 is True, STATEMENT-2 is False
d
STATEMENT-1 is False, STATEMENT-2 is True
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detailed solution

Correct option is B

X∩(Y∪X)′=X∩Y′∩X′=X∩X′∩Y′=ϕStatement-1 is True.XΔY=(X~Y)∪(Y~X)=(X∪Y)~(X∩Y)⇒number of elements in X ∆Y = m – n. ⇒ Statement-2 is True but does explain statement-1.


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