anonymous
  • anonymous
Prove A-(A-B)=B-(B-A)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
For Set theory
anonymous
  • anonymous
Of course I need to show forward and converse. I also started the forward with "Let be x within A-(A-B)."
anonymous
  • anonymous
not sure where to go from there...

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anonymous
  • anonymous
So by definition, x is in A, but x is not in A-B. So x must be in B as well. Now since x is in A, x is not in B-A. Hence x is in B-(B-A). Now go the other way!
anonymous
  • anonymous
hmm that was quite simple. *face palm*
anonymous
  • anonymous
Thanks
anonymous
  • anonymous
@Erin001001 Thanks!
anonymous
  • anonymous
No problem :) What you really needed was a picture: with a Venn diagram and a bit of shading, it should be fairly easy to show that is x is in the LHS it must be in \(A \cap B\).
anonymous
  • anonymous
I started with a Venn diagram and then got to the proof and couldn't see how to relate the two expressions.

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