Elementary Set Theory (Discrete)

  • #1

Homework Statement


Suppose A⊂B⊂C. What is A/B, A/C, and A∪B

Homework Equations




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.
 

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