Answer to Question #157520 in Discrete Mathematics for Angelie Suarez

Question

TRUTH TABLES: MAKE A TRUTH TABLE FOR EACH OF THE FOLLOWING STATEMENT

1. p ∧ q 3 points

2. p ∨ q 3 points

3. p∨~q 4 points

Answer 1

Let us make a truth table for each of the following statement:

1. $p \land q$

$\ \ \begin{array}{||c|c||c||} \hline\hline p & q & p\land q\\ \hline\hline F & F & F\\ \hline F & T & F\\ \hline T & F & F\\ \hline T & T & T\\ \hline\hline \end{array}$

2. $p \lor q$

$\ \ \begin{array}{||c|c||c||} \hline\hline p & q & p\lor q\\ \hline\hline F & F & F\\ \hline F & T & T\\ \hline T & F & T\\ \hline T & T & T\\ \hline\hline \end{array}$

3. $p\lor\sim q$

$\ \ \begin{array}{||c|c||c|c||} \hline\hline p & q & \sim q& p\lor \sim q\\ \hline\hline F & F & T & T\\ \hline F & T & F & F\\ \hline T & F & T & T\\ \hline T & T & F & T\\ \hline\hline \end{array}$