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If (A union B) = (A …

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If (A union B) = (A union C) and (A intersection B) = (A intersection C) prove B=C
  • 2 answers

Yash Goswami????? 6 years, 7 months ago

Tq

Gaurav Seth 6 years, 7 months ago

n(A U B) = n(A U C) …….1

n(A ∩ B) = n(A ∩ C)………2

Expanding equation 1

n(A) + n(B) — n( A ∩ B) = n(A) + n(C) — n(A∩C)…3

Substituting 2 in equation 3

n(A) + n(B) — n(A∩B) = n(A) + n(C) — n(A∩ B)

Therefore n(B) = n(C)

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