For all sets A, B, C show that( A-B) intersection (A- C) =A -(B union C)
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Answer:
As we know that
A−B=A∩B
′
And also (A∩B)
′
=A
′
∪B
′
,A∩(B∪C)=(A∩B)∪(A∩C)
A−(B∩C)=A∩(B∩C)
′
=A∩(B
′
∪C
′
)=(A∩B
′
)∪(A∩C
′
)=(A−B)∪(A−C)
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