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Exercise 10

Avg difficulty 2.5

Write each of the following statements in the form, “ if …, then ….” Careful, some of the statements might be false (which is alright for the purposes of this question).

  1. To lose weight, you must exercise.

  2. To lose weight, all you need to do is exercise.

  3. Every American is patriotic.

  4. You are patriotic only if you are American.

  5. The set of rational numbers is a subset of the real numbers.

  6. A number is prime if it is not even.

  7. Either the Broncos will win the Super Bowl, or they won't play in the Super Bowl.

Levin, Discrete Mathematics: An Open Introduction (3rd ed.), §1.2 Mathematical Statements, Exercise 10

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Adapted from Discrete Mathematics: An Open Introduction © 2013–2019 Oscar Levin. Licensed under CC BY-SA 4.0. Source: Discrete Mathematics: An Open Introduction. Imported at revision 1e2e26b.