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Exercise 6

Avg difficulty 2.5

State the converse, inverse, and contrapositive of each of the following conditional statements:

  1. If it rains today, then I will bring an umbrella.
  2. Whenever I drive my car, I do not use my phone.
  3. When I stay up too late, it's necessary that I sleep until noon.

Hammond, Discrete Math for Shockers, §1.1 Propositional Logic, Exercise 6

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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.