Answer: Some of the arguments in are valid, whereas others

Chapter 2, Problem 25E

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QUESTION:

Some of the arguments in 24-32 are valid, whereas others exhibit the converse or the inverse error. Use symbols to write the logical form of each argument. If the argument is valid, identify the rule of inference that guarantees its validity. Otherwise, state whether the converse or the inverse error is made.

This real number is rational or it is irrational.

This real number is not rational.

\(\therefore\) This real number is irrational.

Text Transcription:

therefore

Questions & Answers

QUESTION:

Some of the arguments in 24-32 are valid, whereas others exhibit the converse or the inverse error. Use symbols to write the logical form of each argument. If the argument is valid, identify the rule of inference that guarantees its validity. Otherwise, state whether the converse or the inverse error is made.

This real number is rational or it is irrational.

This real number is not rational.

\(\therefore\) This real number is irrational.

Text Transcription:

therefore

ANSWER:

SOLUTIONStep 1Let ‘p’ denotes the statement, ‘this real number is rational’And ‘q’ denotes, ‘this real number is irrational’.Given statement is written by using p and q as

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