geometry question

K I'm having trouble on this question (I'm only in 10th grade)

P:Spring is a month (false)
Q:Halloween is a holoday (true)

~(P^~q) is -------
(is this true or false)

Please help me and explaining why would help to
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This isn't geometry; it is logic.

P^Q means P and Q need to both be true rather than
P V Q which means only one needs to be true.

P V Q = P is true OR Q is true.

If you make a truth table, you will see that P is false and Q is true, even though it has nothing to do with the negatives. Instead, it matters on the equations that form them.

~(P^~q)
The answer/equation would be false.

However, if it was
~P => Q
or
~P Implies Q
then it would be indeed true.

Oh wow that was a rrly easy question I just frogot how to destrubute the ~
LOL but thx tdk
U can lock this