Mark the correct alternative in the following: For any three sets A, B and C

Question

Philoid · Accepted Answer

(A⋂B)∖(A⋂C)=(A⋂B)∖A⋃(A⋂B)∖C (∵ De Morgen’s law with difference and intersection.)

=ϕ⋃(A⋂B)∖C

=(A⋂B)∖C

=A⋂(B∖C) (∵ intersection with difference is difference with intersection)