Some of the arguments in are valid, whereas others exhibit

Chapter 2, Problem 26E

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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.

If I go to the movies, I won't finish my homework. If I don't finish my homework, I won't do well on the exam tomorrow.

\(\therefore\) If I go to the movies, I won't do well on the exam tomorrow.

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.

If I go to the movies, I won't finish my homework. If I don't finish my homework, I won't do well on the exam tomorrow.

\(\therefore\) If I go to the movies, I won't do well on the exam tomorrow.

Text Transcription:

therefore

ANSWER:

SOLUTION
Step 1

Let

 I go to the movies.

 I won’t finish my homework.

 I won’t do well on the exam tomorrow.

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