proof that a ∩ (b ∪ c) = (a ∩ b) ∪ (a ∪ c)
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Answer:
To prove:
A−(B∪C)=(A−B)∩(A−C)
Solution:
L.H.S=A−(B∪C)
=A∩(B∪C)
′
∵(A−B)=A∩B
′
=A∩(B
′
∩C
′
) ∵(B∪C)
′
=(B
′
∩C
′
)
=(A∩B
′
)∩(A∩C
′
)
=(A−B)∩(A−C)
= R.H.S
bartwalritika1511:
thnks
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