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Chapter 3: Q4CE. (page 107)

Tell whether the reasoning process is deductive or inductive.

Linda observes that (−1)2=+1,  (−1)4=+1, and(−1)6=+1. She concludes that every even power of(−1)is equal to +1.

Short Answer

Expert verified

The reasoning process isinductive.

Step by step solution

01

Step 1. Define deductive reasoning.

Deductive reasoning is conclusions based on accepted statements like a theorem, postulate, facts etc.

02

Step 2. Define inductive reasoning.

Inductive reasoning is conclusions based on several past observations.

03

Step 3. State whether reasoning is inductive or deductive.

From the given statement “Linda observes that,(−1)2=+1,  (−1)4=+1and (−1)6=+1. She concludes that every even power of (−1)is equal to +1.”, it is clear that the conclusion is based on several past observations. Thus, this conclusion is probably true but not necessarily true.

Therefore, the reasoning process is inductive.

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