anonymous
  • anonymous
Discrete math, convert expression to NOT, AND, OR. I'm confused about what the question is asking. I wont be able to get help from my professor until tomorrow so maybe someone can help me. I will give a simpler example below.
Mathematics
  • Stacey Warren - Expert brainly.com
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
(P & Q) is it possible to do the operations above on this statement?
anonymous
  • anonymous
\(P\land Q\) is already an "and" expression
anonymous
  • anonymous
Ya that's what I didn't understand about the question. I just think it's worded incorrectly. I have a larger compound statement q -> ( p v r ). He says to convert it to NOT, AND, OR. Any idea now? Thanks!

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anonymous
  • anonymous
yeah in general \(P\to Q \equiv \lnot Q \lor P\)
anonymous
  • anonymous
Ahh maybe the question is just asking to use the general identities to somehow have NOT AND OR instead of the implication.
anonymous
  • anonymous
whoa whoa i got that backwards sorry damn
anonymous
  • anonymous
it should have been \[P\to Q \equiv \lnot P \lor Q\]
anonymous
  • anonymous
it's ok :).
anonymous
  • anonymous
so the first step in what you wrote above, (lets see if i can not screw this up) is \[q\to (p\lor v)\equiv \lnot q \lor (p\lor v)\]
anonymous
  • anonymous
for "or" statements the parenthese are not necessary, so you can simply write \[\lnot q \lor p \lor v\]

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