Answer to Question #325316 in Discrete Mathematics for jeyms

Question

Let p, q, and r be true, false and false, respectively. Determine the truth value of the

following?

a.) (p → q) ∧∼ r

b.) q ↔ (p ∧ r)

Answer 1

1. $(1\to 0) \land \lnot0\iff 0\land 1\iff 0$ - false
2. $0\leftrightarrow(1\land 0)\iff 0\leftrightarrow 0\iff 1$ - truth