Aspire Faculty ID #16705 · Topic: CUET 2023 · Just now
CUET 2023

If $A,B,C$ are any three sets, then
(A) $A-(B\cap C)=(A\cap B)-(A\cap C)$
(B) $A-(B\cup C)=(A-B)\cap(A-C)$
(C) $n(A-B)=n(A)-n(A\cap B)$
(D) $A\cap(B-C)=(A\cap B)\cap(A-C)$

Choose the most appropriate answer:

Solution

A: False (LHS ≠ RHS generally)

B: True (De Morgan’s law)

C: True (basic counting identity)

D: True (set distributive law)

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