Sample Solution from

Elementary Geometry for College Students

6th Edition

ISBN: 9781285195698

Chapter 1.CT

Problem 1CT

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Textbook Problem

Which type of reasoning is illustrated below?_______

Because it has rained the previous four days, Annie concludes that it will rain again today.

To determine

**To find:**

The type of reasoning for the statement “Because it has rained the previous four days, Annie concludes that it will rain again today.”

**Solution:**

Induction

**Definition Used:**

1. Intuition: An inspiration leading to the statement of a theory.

2. Induction: An organized effort to test and validate the theory.

3. Deduction: A formal argument that proves the tested theory.

**Given:**

“Because it has rained the previous four days, Annie concludes that it will rain again today.

**Approach:**

Consider, “Because it has rained the previous four days, Annie concludes that it will rain again today.”

By the definition, we get the statement is Induction, since observations on the first four days were used to make a conclusion about the fifth day.

Therefore, the statement “Because it has rained the previous four days, Annie concludes that it will rain again today” is induction.

**Final statement:**

Thus, the statement “Because it has rained the previous four days, Annie concludes that it will rain again today” is induction.

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