Answer to Question #289360 in Discrete Mathematics for pearl

Question

Let p and q be propositions, construct the truth table for the compound proposition.

~(p^q)

Answer 1

We want to construct the truth table for $\neg(p\wedge q)$ . The table is below;

$$\def\arraystretch{1.5} \begin{array}{c|c|c|c} p & q & p \wedge q & \neg(p \wedge q) \\ \hline T & T & T & F \\ T & F & F & T \\ F & T & F & T \\ F & F & F & T \end{array}$$