If I study, then I will not fail basket-weaving 101. If I do not play cards to often, then
I will study. I failed basket-weaving 101. Therefore, I played cards too often. Is this
statement valid (use truth tables to verify).
Consider the following open propositions over the universe U = {− 4,−2, 0, 1, 3, 5, 6,
8, 10}
P(x): x ≥ 4
Q(x): x 2 = 25
R(x): s is a multiple of 2
Find on a single truth table the truth-values of the following.
i. P(x ) ∧ R (x )
ii. [~ Q(x )] ∧ P(x )]