Chapter 3: Q4 (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 is inductive.

Step by step solution

Step 1. Define deductive reasoning

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

Step 2. Define inductive reasoning

Inductive reasoning is conclusions based on several past observations.

Step 3. State whether reasoning is inductive or deductive

From the given statement “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.”, 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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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

Step by step solution

Step 1. Define deductive reasoning

Step 2. Define inductive reasoning

Step 3. State whether reasoning is inductive or deductive

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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

Step by step solution

Step 1. Define deductive reasoning

Step 2. Define inductive reasoning

Step 3. State whether reasoning is inductive or deductive

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Applied Mathematics

Decision Maths

Mechanics Maths

Probability and Statistics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

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.