Let A, B and C be sets. Then show that A ∩(B ∪ C)=(A ∩ B) ∪(A ∩ C) L.H.S A ∩(B ∪ C) let x ∈(A ∩(B...

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Let A, B and C be sets. Then show that
A ∩(B ∪ C)=(A ∩ B) ∪(A ∩ C)
L.H.S A ∩(B ∪ C)
let x ∈(A ∩(B ∪ C)
⇒ x ∈ A and x ∈(B ∪ C)
⇒ x ∈ A and (x ∈ B or x ∈ C)
⇒ (x ∈ A and x ∈-B) or (x ∈ A and x ∈ C)
⇒ x ∈(A ∩ B) or x ∈(A ∩ C)
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