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This is converse, contrapositive and inverse, right?
I'm not sure, to be honest.
It's discrete math, if that helps at all.
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."
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.
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
Conditional: ~a -> ~b Converse: ~b -> ~a
P ^ Q is P AND Q (both) P V Q is P OR Q (one or the other)
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.
so we have to go to P -> Q P implies Q using some techniques from or and and statements... like a truth table.
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.
P Q P - > Q T T T T F F F T T F F T that's the implies table
Thank you! That actually helped.
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.
you're welcome :)