Question

determine the truth value of the statement if

a) p is true, q is false, and r is true.
b) p is false, q is true, and r is true.

∼q ∨ (r ∧ p)

Answer 1

a.) ~q∨ (r ∧ p)
~F∨ (T ∧ T)
~F ∨ T
T
Therefore the statement is true.
b.) ~q ∨ (r ∧p)
~T ∨ (T ∧ F)
~F∨ F
F
Therefore the statement is false.
This is the answer, but how would you neate the F or T before you give the answer?