Question

The propositional variables p, q, r, and w have the following truth val

a. p: False
b. q: True
c. r: False
d. w: False
Select the correct truth value for each proposition.
a. paw
b. rvq
c. q

Answer 1

The truth values for the propositions p ∧ w, r ∨ q, and q are False, True, and True, respectively.

Step-by-step explanation:

The truth values for the propositional variables are as follows:

a. p ∧ w: False

b. r ∨ q: True

c. q: True

To find the truth value for the conjunction (p ∧ w), we need to evaluate both p and w. Since both p and w are false, the conjunction (p ∧ w) is also false. For the disjunction (r ∨ q), we need to evaluate both r and q. Since q is true, the disjunction (r ∨ q) is true, regardless of the value of r. Finally, the truth value of proposition q is true, as given in the question.