Are the two statements below logically equivalent? Why or why not?

(p ∧ ~q) and ~(p ∨ q)

Question

Are the two statements below logically equivalent? Why or why not? 

(p ∧ ~q) and ~(p ∨ q)

precal · Answer

you need to create truth tables and list all possible solutions for p and q

precal · Answer

http://www.math.csusb.edu/notes/logic/lognot/node1.html

anonymous · Answer

I have a truth table that's completely filled out except for the part with the exact equation, but I'm not sure what to do with it now.

precal · Answer

p and not q
not (p and q)
I think you can distribute the not and get
not p or not q
but I am not sure, I have not done this in a very long time.
All I know is you have to create truth tables.  This is the basis of learning how to write proofs down the road when you are doing undergraduate work in mathematics.
Hopefully someone will answer that knows.

precal · Answer

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