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math 213

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Tell whether each of the following is true for all sets
A, B If false, give a counterexample.

a. A-B= A-0 (with slashed O)
b. AUB (with line over AUB) = AUB (with line over A and a line over B)

  • math 213 -

    a. true
    b. false
    U = {1,2,3,4,5}
    A = {1,2,3}
    B = {2,4,5}

    A' = {4,5}
    B' = {1,3}

    (AUB)' = {}
    A'UB' = {1,3,4,5}
    However A' ∩ B' = {}

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