If A = {a, b, c, d, e}, B = {a, c, e, g} and C = {b, e, f, g}, find (i) A∩ (B-C) (ii) A-(BU C) (iii) A – (B∩ C)

Question

If A = {a, b, c, d, e}, B = {a, c, e, g} and C = {b, e, f, g}, find (i) A∩ (B-C) (ii) A-(BU C) (iii) A – (B∩ C)

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Camila 4 weeks 2021-10-29T17:35:09+00:00 1 Answer 0 views 0

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    2021-10-29T17:37:00+00:00

    Given that AUB = AUC

    ⇒ (AUB) ∩ C = (AUC) ∩C

    ⇒ (A∩C) U (B∩C) = C [ ∴(AUC)∩C = C ]

    ⇒ (A∩B) U (B∩C) = C ……….(1) [ ∴(A∩C) = A∩B ]

    Again AUB = AUC

    (AUB) ∩ B = (AUC) ∩ B

    B = (A∩B) U (C∩B)

    = (A∩B) U (B∩C) ………..(2)

    From 1 & 2 we get

    B = C

    I hope you are understand my solution

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