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 33 Page 457

What do you use to claim that Mozart is mortal?

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.

The two first sentences state facts about men's mortality and Mozart's gender. Using these facts, we can claim that Mozart is mortal. Therefore, the conclusion was reached by using deductive reasoning.