∼(p ∧ q), ∼p ∧ ∼q
Use De Morgan’s laws to determine whether the two statements are equivalent.

Question

∼(p ∧ q), ∼p ∧ ∼q
Use De Morgan’s laws to determine whether the two statements are equivalent.

anonymous · Answer

I need help with this!!!

helder_edwin · Answer

for the statements to be equivalent the following proposition has to be a tautology
$$ \large \neg(p\wedge q)\leftrightarrow(\neg p \wedge\neg q) $$

anonymous · Answer

So does that mean that it is or isnt equivalent? This one stumped me.

anonymous · Answer

The professor didnt go over this one :(

helder_edwin · Answer

they are not equivalent becuase DeMorgan's laws are
$$ \large \neg(p\wedge q)\equiv(\neg p\vee\neg q) $$
$$ \large \neg(p\vee q)\equiv(\neg p\wedge\neg q) $$

anonymous · Answer

Oh ok thank you!!!

helder_edwin · Answer

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