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Prove that- A∩(B∪C) = (A∩B) ∪ (A∩C)

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By Team EasyExamNotes

Prob. Prove that-
A∩(B∪C) = (A∩B) ∪ (A∩C)

Solution:
Let x ∈ A ∩ (B U C).
Then x ∈ A and x ∈ (B U C).
(x ∈ A and x ∈ B) or (x ∈ A and x ∈ c).
x ∈ (A and B) or x ∈ ( A and c).

x ∈ (A ∩ B) U ( A ∩ C).

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