Chapter A, Problem 27E

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7th Edition

Stefan Waner + 1 other

ISBN: 9781337280426

Textbook Problem

Assume that it is true that “Polly sings well,” it is false that “Quentin writes well,” and it is true that “Rita is good at math.” Determine the truth of each of the statements in Exercises 25–32.

Polly sings poorly and Quentin writes well.

To determine

The truth of the statement “Polly sings poorly and Quentin writes well” where it is assumed that the statement “Poly sings well” is true and “Quentin writes well *”* is false, and “Rita is good at math” is true.

Explanation

A sentence is a statement if it is defined as a declarative sentence and whose value is either true or false which is called its truth value.

If *p* is a statement, then the negation of the statement is defined as *p.*

To represent the new statement from old ones, the conjunction is used such as *p* and *q.*

The truth value of this is true if both *p* and *q* are true otherwise, false and Disjunction is used such as *p* or *q.* The truth value of this is true if either *p* or *q* is true or both true.

Consider the statement, *p:* Polly sings well,

The truth value of *p* is true

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