Compare your answers.

  1. Revise each of the false conjectures to make them true.

    The following is a set of possible answers. Your new conjectures may be different.

    a. The sum of the digits in a multiple of 9 will be 9.
    The sum of the digits in a multiple of 9 will be divisible by 9.


    b. All prime numbers are odd.
    All prime numbers larger than 2 are odd.


    c.
    if x < −1 or x > 1.

You likely use inductive reasoning on a regular basis even though you may not realize it. Inductive reasoning is a good way to make generalized statements, or conjectures, about specific information. A conjecture can be shown to be false by finding a single counterexample. In the next lesson you will learn how to prove that a conjecture is true.

Â