Question

Consider the statement: The art show was enjoyable but the room was hot.
a) Use a variable to represent each basic statement in the given statement.
b) Use the variables and logical operators to represent the statement in symbolic form.
c) Construct the truth table.

Answer 1

Consider the statement: The art show was enjoyable but the room was hot.

a) Let us represent each basic statement:

p = "The art show was enjoyable", q = "The room was hot".

b) Let us use the variables $p, \ q$ and the logical operator $\land$ to represent the statement in the following symbolic form: $p\land q.$

c) Let us construct the truth table for $p\land q:$

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