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 31 Page 457

Is it a guarantee that mom will buy milk when she goes to the store?

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.

Think about the statement. Is it a fact that when mom goes to the store she buys milk? No, it is not a fact. Just because it has happened historically there is no guarantee that it will happen in the future, which is called a pattern. Therefore, the second sentence uses inductive reasoning to reach the conclusion that mom will buy milk.