anonymous
  • anonymous
Hey...can anyone please explain how I figure out if ~(p ^ q) is equivalent or not equivalent to ~p ^ q
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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heisenberg
  • heisenberg
I believe you can use a truth table to check this. Make a truth table for each and see if they are the same.
anonymous
  • anonymous
It isn't the equivalence of ~(P ^ Q) would be ~P \/ ~Q according to DeMorgan's law.
heisenberg
  • heisenberg
does ^ = logical OR and \/ = logical AND?

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anonymous
  • anonymous
^ is and \/ is or
anonymous
  • anonymous
^ is the "and" and V is the "or"
anonymous
  • anonymous
I was thinking it was what zealhack was saying...but I always confuse myself!!
heisenberg
  • heisenberg
you can make a truth table. check each combination of true and false like this: p = true, q = true: ~(true ^ true) = ~(true) = false p = true, q = false: ~(true ^ false) = ~false = true and so forth. make sense?
heisenberg
  • heisenberg
there will be 4 rows for each table (TT, TF, FT, FF). if the two tables are identical then the statements are equivalent.
anonymous
  • anonymous
right, this all makes sense
anonymous
  • anonymous
so in the first column of answers it would end up being T, F, F, F...right?
heisenberg
  • heisenberg
for which statement?
anonymous
  • anonymous
wouldn't that just mean the number has to be 5 or bigger?
heisenberg
  • heisenberg
there are no numbers per say. these are logical expressions. each p, q can only be either true or false.
anonymous
  • anonymous
heisenberg...right, I was helping another girl (trying to) and it popped up on here...sorry about that. The statement I was figuring out was the first one: ~(p ^ q)

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