Answer to Question #305652 in Discrete Mathematics for ian

Question

Let 𝑝, 𝑞 and 𝑟 be the propositions:

𝑝: You have the flu

𝑞: You miss the final examination

𝑟: You pass the course

Express each of the following propositions as an English sentence.

i) ¬𝑞 ↔ 𝑟 [2 Marks]

ii) (𝑝 → ¬𝑟)˅(𝑞 → ¬𝑟) [2 Marks]

Answer 1

i) You don't miss the final examination if and only if you pass the course

ii) If you have the flu, then you will not pass the course, or if you miss the final examination, that means you will not pass the course either