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1. Which of these sentences are propositions? What are the truth values of those that are propositions? a) Erbil is the capital of Kurdistan. b) 2+3=5. c) 5 + 7 = 10. d) x + 2 = 11. e) Answer this question. f) What time is it? g) The moon is made of green cheese. 2. What is the negation of each of these propositions? a) Steve has more than 100 GB free disk space on his laptop. b) 9 is an even number. 3. Let p and q be the propositions. p: The election is decided. q: The votes have been counted. Express each of these compound propositions as an English sentence. c) ¬p → ¬q d) p q a) p b) ¬р^q

1. Which of these sentences are propositions? What are the truth values of those that are propositions? a) Erbil is the capital of Kurdistan. b) 2+3=5. c) 5 + 7 = 10. d) x + 2 = 11. e) Answer this question. f) What time is it? g) The moon is made of green cheese. 2. What is the negation of each of these propositions? a) Steve has more than 100 GB free disk space on his laptop. b) 9 is an even number. 3. Let p and q be the propositions. p: The election is decided. q: The votes have been counted. Express each of these compound propositions as an English sentence. c) ¬p → ¬q d) p q a) p b) ¬р^q

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Which of these sentences are propositions? What are the truth values of those that are propositions? a) Erbil is the capital of Kurdistan. b) 2 + 3 = 5. c) 5+ 7 = 10. d) x + 2 = 11. e) Answer this question. f) What time is it? g) The moon is made of green cheese. 2. What is the negation of each of these propositions? a) Steve has more than 100 GB free disk space on his laptop. b) 9 is an even number. 3. Let p and q be the propositions. p: The election is decided. q: The votes have been counted. Express each of these compound propositions as an English sentence. a) p c) → ¬q b) -рла d) p q
Transcribed Image Text:1. Which of these sentences are propositions? What are the truth values of those that are propositions? a) Erbil is the capital of Kurdistan. b) 2 + 3 = 5. c) 5+ 7 = 10. d) x + 2 = 11. e) Answer this question. f) What time is it? g) The moon is made of green cheese. 2. What is the negation of each of these propositions? a) Steve has more than 100 GB free disk space on his laptop. b) 9 is an even number. 3. Let p and q be the propositions. p: The election is decided. q: The votes have been counted. Express each of these compound propositions as an English sentence. a) p c) → ¬q b) -рла d) p q
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