ajprincess
  • ajprincess
plzz help. How do I prove p∧(pvq)=p using laws of algebra of propositions
Mathematics
  • Stacey Warren - Expert brainly.com
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chestercat
  • chestercat
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JamesJ
  • JamesJ
Do you have this theorem? Let A(x) be a statement involving x. If ~x ^ A(x) is always false, then A(x) = x. If so, then notice ~p ^ p ^ (pvq) = FALSE, hence p ^ (pvq) = p. Another way is ....
JamesJ
  • JamesJ
p∧(pvq) = (p^p) v (p^q) = p v (p ^ q), because p^p = p = p , because if p is false then both p and p^q are false.
anonymous
  • anonymous
pvq would have to be = 1

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anonymous
  • anonymous
1/vq=p
anonymous
  • anonymous
1/vq=p ^ that is not a :P
ajprincess
  • ajprincess
Thanxxx a lott.

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