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Inductive Reasoning and Deductive Reasoning
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Patterns and Inductive Reasoning (2)

Note that a conjecture based on several observations may be true or false. In the following cartoon strip, Ron, a student, made a conjecture based on three specific situations:

Like Ron, you might also make a conjecture only to find out later that it is false. You, therefore, need to verify your conjectures by checking each specific case, if possible. If each specific case cannot be checked, it takes only one false example to show that a conjecture is incorrect. This false example is called a counterexample.