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Exercise 8

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.

Hammond, Discrete Math for Shockers, §2.6 Chapter Review, Exercise 8

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Adapted from Discrete Math for Shockers © 2021 John Hammond. Licensed under CC BY-SA 4.0. Source: Discrete Math for Shockers. Imported at revision 2538beb.