contestada

Let p represent a true statement, let q and r represent the false statements. Find the
truth value of the given compound statements.
~(pvq) ^~(p^q)
Solutions:

Respuesta :

If p is true and q is false, then

• p ∨ q is true, and so ¬ (p ∨ q) is false (¬ stands for "negation" or "not")

• p ∧ q is false, and so ¬ (p ∧ q) is true

which means

¬ (p ∨ q) ∧ ¬ (p ∧ q)

is false.