Answer to Question #148363 in Discrete Mathematics for Modesh Kalladeen

Question #148363
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.
1
Expert's answer
2020-12-03T10:53:49-0500

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, qp, \ q and the logical operator \land to represent the statement in the following symbolic form: pq.p\land q.


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


pqpqFFFFTFTFFTTT\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}



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