# HW01 - CSE260 Solutions to Homework Set #1 2. Which of...

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CSE260 Solutions to Homework Set #1 2. Which of these are propositions? What are the truth values of those that are propositions? a) Do not pass go. This is not a proposition; it's a command. b) What time is it? This is not a proposition; it's a question. c) There are no black flies in Maine. This is a proposition that is false. d) 4 + x = 5. This is not a proposition; its truth value depends on the value of x. e) The moon is made of green cheese. This is a proposition that is false. f) 2^n ≥ 100. This is not a proposition; its truth value depends on the value of n. 4. Let p and q be the propositions p : I bought a lottery ticket this week. q : I won the million dollar jackpot on Friday. Expression each of these propositions as an English sentence. e) p ↔ q I bought a lottery ticket this week if and only if I won the million dollar jackpot on Friday. f) ¬p → ¬q If I did not buy a lottery ticket this week, then I did not win the million dollar jackpot on Friday. 11.

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## This note was uploaded on 01/29/2012 for the course CSE 260 taught by Professor Saktipramanik during the Spring '08 term at Michigan State University.

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HW01 - CSE260 Solutions to Homework Set #1 2. Which of...

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