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Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
BuyFindarrow_forward

Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

In Exercises 41 to 50, use deduction to state a conclusion, if possible.

If you study hard and hire a tutor, then you will make an A in this course. You make an A in this course. 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

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