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Recent questions tagged kennethrosen
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Kenneth Rosen Edition 6th Exercise 1.1 Question 10 (Page No. 17)
Let p, q, and r be the propositions p : You get an A on the final exam. q : You do every exercise in this book. r : You get an A in this class. Write these propositions using p, q, and r and logical connectives (including ... get an A in this class if and only if you either do every exercise in this book or you get an A on the final.
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Kenneth Rosen Edition 6th Exercise 1.1 Question 9 (Page No. 17)
Let p and q be the propositions p : You drive over 65 miles per hour. q : You get a speeding ticket. Write these propositions using p and q and logical connectives (including negations). You do not drive over 65 miles per ... not drive over 65 miles per hour. Whenever you get a speeding ticket, you are driving over 65 miles per hour.
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Kenneth Rosen Edition 6th Exercise 1.1 Question 8 (Page No. 17)
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 these propositions as an English sentence. $p \rightarrow q$ $\neg q \leftrightarrow r$ ... $(p \rightarrow \neg r) \vee (q \rightarrow \neg r)$ $(p \wedge q) \vee (\neg q \wedge r)$
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Apr 14, 2016
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Kenneth Rosen Edition 6th Exercise 1.1 Question 7 (Page No. 17)
Let p and q be the propositions p : It is below freezing. q : It is snowing. Write these propositions using p and q and logical connectives (including negations). It is below freezing and snowing. It is below freezing ... not snowing if it is below freezing. That it is below freezing is necessary and sufficient for it to be snowing.
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Apr 14, 2016
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Kenneth Rosen Edition 6th Exercise 1.1 Question 6 (Page No. 17)
Let p and q be the propositions The election is decided and The votes have been counted, respectively. Express each of these compound propositions as an English sentence. $\neg p$ $p \vee q$ $\neg p \wedge q$ $q \rightarrow p$ ... $\neg p \rightarrow \neg q$ $p \leftrightarrow q$ $\neg q \vee (\neg p \wedge q)$
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Kenneth Rosen Edition 6th Exercise 1.1 Question 5 (Page No. 16)
Let p and q be the propositions Swimming at the New Jersey shore is allowed and Sharks have been spotted near the shore, respectively. Express each of these compound propositions as an English sentence. $\neg q$ $p \wedge q$ ... $\neg p \rightarrow \neg q$ $p \leftrightarrow \neg q$ $\neg p \wedge (p \vee \neg q)$
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Kenneth Rosen Edition 6th Exercise 1.1 Question 4 (Page No. 16)
Let p and q be the propositions p : I bought a lottery ticket this week. q : I won the million dollar jackpot. Express each of these propositions as an English sentence. $\neg p$ $p \vee q$ $p \rightarrow q$ $p \wedge q$ $p \leftrightarrow q$ $\neg p \rightarrow \neg q$ $\neg p \wedge \neg q$ $\neg p \vee (p \wedge q)$
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Apr 13, 2016
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Kenneth Rosen Edition 7th Exercise 1.1 Question 7 (Page No. 13)
Suppose that during the most recent fiscal year, the annual revenue of Acme Computer was 138 billion dollars and its net profit was 8 billion dollars, the annual revenue of Nadir Software was 87 billion dollars and its ... revenue. Nadir Software had the smallest net profit if and only if Acme Computer had the largest annual revenue.
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Kenneth Rosen Edition 7th Exercise 1.1 Question 6 (Page No. 13)
Suppose that SmartphoneA has 256 MB RAM and 32 GB ROM, and the resolution of its camera is 8 MP; Smartphone B has 288 MB RAM and 64 GB ROM, and the resolution of its camera is 4 MP; and Smartphone C has 128 MB ... resolution camera. Smartphone A has more RAM than Smartphone B if and only if Smartphone B has more RAM than Smartphone A.
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Kenneth Rosen Edition 7th Exercise 1.1 Question 5 (Page No. 13)
What is the negation of each of these propositions? Steve has more than 100 GB free disk space on his laptop. Zach blocks emails and texts from Jennifer. 7 · 11 · 13 = 999. Diane rode her bicycle 100 miles on Sunday.
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Kenneth Rosen Edition 7th Exercise 1.1 Question 4 (Page No. 12)
What is the negation of each of these propositions? Jennifer and Teja are friends. There are 13 items in a baker’s dozen. Abby sent more than 100 text messages every day. 121 is a perfect square.
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Apr 13, 2016
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Kenneth Rosen Edition 7th Exercise 1.1 Question 3 (Page No. 12)
What is the negation of each of these propositions? Mei has an MP3 player. There is no pollution in New Jersey. 2 + 1 = 3. The summer in Maine is hot and sunny.
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Apr 13, 2016
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Kenneth Rosen Edition 7th Exercise 1.1 Question 2 (Page No. 12)
Which of these are propositions?What are the truth values of those that are propositions? Do not pass go. What time is it? There are no black flies in Maine. 4 + x = 5. The moon is made of green cheese. $2^n \geq 100$
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Kenneth Rosen Edition 7th Exercise 1.1 Question 1 (Page No. 12)
Which of these sentences are propositions? What are the truth values of those that are propositions? Boston is the capital of Massachusetts. Miami is the capital of Florida. 2 + 3 = 5. 5 + 7 = 10. x + 2 = 11. Answer this question
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Rosen 8.2.54.
If G is a simple graph with 15 edges and $\bar{G}$ has 13 edges, how many vertices does G have?
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Nov 21, 2015
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