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Math Help - Induction Proof Problem (for set union)

  1. #1
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    Induction Proof Problem (for set union)

    I hope that someone can help me with the following problem:

    Problem: Proof by induction that (attached as '.jpg'):
    Attached Thumbnails Attached Thumbnails Induction Proof Problem (for set union)-math_problem.jpg  
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  2. #2
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    Welcome to MathHelpForum. In order to help you need to understand that this is not a homework service. So you need to either post some of your work on a problem or explain what you do not understand about the question.
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  3. #3
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    Hi,
    I donít know how to use the induction hypothesis here.
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  4. #4
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    Is it true that A_1\cup A_2=(A_1\setminus A_2)\cup (A_2\setminus A_1)\cup (A_1\cap A_2)?

    Is it true that A_1\cup A_2 \cup A_3=(A_1\setminus A_2)\cup (A_2\setminus A_3) \cup (A_3\setminus A_1)\cup (A_1\cap A_2 \cap A_3)?.
    Last edited by Plato; October 9th 2010 at 08:47 AM.
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