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Math Help - Set Theory

  1. #1
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    Set Theory

    Need help with these, please.

    Given f: X maps to Y with A1, A2 c X and B1, B2 c Y

    which of the following are true. Can someone also provide a brief reason why?

    1) f(A1 n A2) = f(A1) n (f(A2)

    2) f ^-1(B1 n B2) = f^-1(B1) n F^-1 (B2)

    3) f ^-1(B1 u B2) = f^-1(B1) u F^-1 (B2)

    Thanks
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  2. #2
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    Part a is false. The sets A_1 and A_2 may be have an empty intersection but their images may overlap.

    Parts b & c are true. Can you prove then?
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