Discrete math

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(The set of all such that)
A={n in Z| 2 divides n}
B={n in Z| 3 divides n}

Both are contained in the universal set
U=Z

a/ What is A union B?
b/ What is the complement of A?

  • Discrete math -

    a/ Sorry, it was what's A intersection B?

  • Discrete math -

    A={n ∈ Z| 2 divides n}
    B={n ∈ Z| 3 divides n}

    A∩B
    ={n in Z| 2|n and 3|n}
    ={n in Z| 6|n}
    That is
    A∩B is the set of all integers divisible by 6.

    A'={n in Z| 2∤n}
    = all odd integers.

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