Question

In: Statistics and Probability

Prove that for arbitrary sets A, B, C the following identities are true. Note that Euler...

  1. Prove that for arbitrary sets A, B, C the following identities are true. Note that Euler Diagram is not a proof but can be useful for you to visualize!
  1. (A∩B)⊆(A∩C)∪(B∩C')
  1. Bonus question: A∪BA'∪CA∪B''=

=(A∩B∩C)∪(A∩B'∩C)∪(A'∩B∩C)∪(A'∩B∩C')

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