anonymous
  • anonymous
p: It snows tonight. q: I will stay home. Use negation (~), conjunction (˄), disjunction (˅), and/or implication (→) to construct a logical equivalence of p→q.
Discrete Math
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
This is converse, contrapositive and inverse, right?
anonymous
  • anonymous
I'm not sure, to be honest.
anonymous
  • anonymous
It's discrete math, if that helps at all.

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anonymous
  • anonymous
So... The converse is "If it snows tonight, I will stay home." The contrapositive is "If it doesn't snow tonight, then I won't stay home." The inverse is: "If I won't stay home tonight, then it won't snow."
anonymous
  • anonymous
I think I have to make an equation that looks sort of like this: p v q or ~p v q. I'm not really clear on what is wanted in this problem and my book isn't much help.
UsukiDoll
  • UsukiDoll
Original Statement If P then Q Negation Statement If NOT P then NOT Q Converse Statement if Q then P Contrapositive Statement if NOT Q then NOT P
anonymous
  • anonymous
Conditional: ~a -> ~b Converse: ~b -> ~a
UsukiDoll
  • UsukiDoll
P ^ Q is P AND Q (both) P V Q is P OR Q (one or the other)
UsukiDoll
  • UsukiDoll
I think my book uses different terms. I remember original statement negation is the negative version of the original statement converse is the reversed version of the original statement and contrapositive is the negative reversed version of the original statement.
UsukiDoll
  • UsukiDoll
so we have to go to P -> Q P implies Q using some techniques from or and and statements... like a truth table.
anonymous
  • anonymous
Yes like truth tables. I guess my question is not so much how to do this, but more of what the question is asking me to do. The terminology seems to be different in other places I look, so I guess that is why I was confused.
UsukiDoll
  • UsukiDoll
P Q P - > Q T T T T F F F T T F F T that's the implies table
anonymous
  • anonymous
Thank you! That actually helped.
UsukiDoll
  • UsukiDoll
so if P is true Q is true... implies will give a True if P is true, Q is false implies will give a False if P is false Q is true implies will give a true if P is false Q is false implies give a true.
anonymous
  • anonymous
Thank you!
UsukiDoll
  • UsukiDoll
you're welcome :)

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