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Elementary Set Theory (Discrete)

  1. Jun 30, 2016 #1
    1. The problem statement, all variables and given/known data
    Suppose A⊂B⊂C. What is A/B, A/C, and A∪B

    2. Relevant equations


    3. The attempt at a solution
    This isn't really a homework question, I am just trying to get some exposure to discrete math before I take it in the fall.

    The set differences A/B and A/C are both empty sets and the 'or' set is B. I understand the last part, but I'm unsure of why A/B and A/C are empty sets. I understand it has something to do with x∈A but x∉B or C as part of the definition of a set difference. I just need someone to explain it to me.
     
  2. jcsd
  3. Jul 1, 2016 #2
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