   Chapter 1.1, Problem 48E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# In Exercises 41 to 50, use deduction to state a conclusion, if possible.If a student is enrolled in a literature course, then he or she will work very hard. Bram Spiegel digs ditches by hand six days a week. Conclusion?

To determine

To find:

The conclusion of given statement using deduction.

Explanation

Approach:

Deduction:

Deduction is a type of reasoning in which the knowledge and acceptance of selected assumptions guarantee the truth of a particular conclusion.

Law of Detachment:

This form of deductive reasoning is frequently used in the development of geometry. In this form, at least two statements are treated as facts; these assumptions are called premises of the argument. On the basis of premises, a particular conclusion must follow.

Let P and Q represent simple statements, and assume that statement 1 and 2 are true. Then a valid argument having conclusion C has the form

 1. If P, then Q 2. P premises C. ∴Q conclusion

The symbol means therefore.

An invalid argument having conclusion C has the form

 1. If P, then Q 2

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