Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
2. Inductive and Deductive Reasoning
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Exercise 2 Page 456

One type of reasoning uses patterns, while the other uses facts and definitions.

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.

Therefore, deductive reasoning is a proof in the true sense of the word as it covers the general case. Below we see an example of the difference between the different types of reasoning when proving that the sum of two even numbers is an even number.