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Math Help - laws of set algebra

  1. #1
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    laws of set algebra

    i am having a bit(actually alot) of problems with set algebra
    here are some examples

    using laws of set algebra show that generally

    (x\y) u (x n y) = x

    heres another one

    (y'\x) 'u (x \ y) = x u y

    can you please explain in detail (i am clueless bout these questions)
    how you solved them, the explanation is more important than the answer, i have a test soon so a quick replay would be helpfull
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  2. #2
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    X\backslash Y = X \cap Y^c
    \begin{array}{rcl} \left( {X\backslash Y} \right) \cup \left( {X \cap Y} \right) & = & \left( {X \cap Y^c } \right) \cup \left( {X \cap Y} \right) \\ <br />
  & = & X \cap \left( {Y^c  \cup Y} \right) \\ <br />
  & = &  X \\   \end{array}<br />
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  3. #3
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    i didnt really want the answer just an explanation of how set algebra is applied in these equations
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