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 11 Page 455

Inductive reasoning means you find a pattern to prove something, while deductive reasoning requires you to prove something by facts and definitions.

Deductive 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. This is a proof in the true sense of the word.

From the given exercise, we know that all multiples of 8 are divisible by 4. Since this is a fact, we have used deductive reasoning to prove the statement.