Master De Morgan's Law

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Questions and Answers

Which of the following statements accurately represents De Morgan's Law for negating a conjunction (and)?

  • 'not (A and B)' is the same as 'not A and not B'
  • 'not (A and B)' is the same as 'not A or not B' (correct)
  • 'not (A and B)' is the same as 'not A and B'
  • 'not (A and B)' is the same as 'A and not B'

Which of the following statements accurately represents De Morgan's Law for negating a disjunction (or)?

  • 'not (A or B)' is the same as 'not A and B'
  • 'not (A or B)' is the same as 'A and not B'
  • 'not (A or B)' is the same as 'not A and not B' (correct)
  • 'not (A or B)' is the same as 'not A or not B'

Which of the following statements accurately represents the Distributive Law in formal logic?

  • 'A and (B or C)' is the same as '(A and B) or C' (correct)
  • 'A or (B and C)' is the same as '(A or B) and (A or C)'
  • 'A or (B and C)' is the same as '(A and B) or (A and C)'
  • 'A and (B or C)' is the same as 'A or (B and C)'

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