Solution: Use truth tables to determine whether the argument

Chapter 2, Problem 9E

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QUESTION:

Use truth tables to determine whether the argument forms in 6-11 are valid. Indicate which columns represent the premises and which represent the conclusion, and include a sentence explaining how the truth table supports your answer. Your explanation should show that you understand what it means for a form of argument to be valid or invalid.

\(p \wedge q \rightarrow \sim r\)

\(p \vee \sim q\)

\(\sim q \rightarrow p\)

\(\therefore \sim r\)

Text Transcription:

p wedge q rightarrow sim r

p vee sim q

& \sim q rightarrow p

\therefore & \sim r

Questions & Answers

QUESTION:

Use truth tables to determine whether the argument forms in 6-11 are valid. Indicate which columns represent the premises and which represent the conclusion, and include a sentence explaining how the truth table supports your answer. Your explanation should show that you understand what it means for a form of argument to be valid or invalid.

\(p \wedge q \rightarrow \sim r\)

\(p \vee \sim q\)

\(\sim q \rightarrow p\)

\(\therefore \sim r\)

Text Transcription:

p wedge q rightarrow sim r

p vee sim q

& \sim q rightarrow p

\therefore & \sim r

ANSWER:

Solution :

Step 1 :

In this problem, we have to construct the truth table and determine the statement is it valid or not.

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