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Big Ideas Math Integrated I, 2016 View details

2. Inductive and Deductive Reasoning

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Exercise 34 Page 457

Is it a guarantee that you will be able to see your friends?

Inductive reasoning, see solution.

Practice makes perfect

Let's first determine the difference between inductive and deductive reasoning.

Inductive reasoning means we find a pattern to prove something.
Deductive reasoning requires us to prove something by facts and definitions.

Is it a fact that when you clean your room you are allowed to go out with your friends? No it is not a fact. Just because it has happened historically there is no guarantee that it will happen in the future which means this is a pattern. Therefore, this is an example of inductive reasoning.