Fundamentals of Computer Science - Week 1 (Essential reading) Exercises p. 12, p. 13

Rosen, K.H. Discrete mathematics and its applications (New York: McGraw-Hill, 2012) 7th edition, Chapter 1.1-1.2, pp.1-22.
1)
1a) true
1b) true
1c) true
1d) false
1e) not proposition
1f) not proposition

 2)
2a) not proposition
2b) not proposition
2c) false
2d) not proposition
2e) false
2f) not proposition 

 3)
3a) is not the case that Mei has an MP3 player
3b) There is pollution in New Jersey
3c) 2 + 1 is not equal 3
3d) is not the case that the summer in Maine is hot and sunny

 4)
4a) is not the case that Jennifer and Teja are friends
4b) There are not 13 items in a baker's dozen
4c) is not the case that Abby sent more than 100 text messages every day
4d) 121 is not a perfect square

 5)
5a) is not the case that ... 
5b) is not the case that ... 
5c) 7 . 11 . 13 != 999 
5d) is not the case that ... 

 6) 6a) true 6b) true 6c) false 6d) false 6e) false

 7) 7a) false 7b) true 7c) false 7d) false 7e) true

 8)
8a) is not the case that I brought a lottery ticket this week
8b) I bought a lottery ticket this week or I won the million dollar jackpot
8c) if I bought a lottery ticket this week then I won the million dollar jackpot
8d) I brought a lottery ticket this week and I won the million dollar jackpot
8e) I won the million dollar jackpot if and only if I bought a lottery ticket this week
8f) if I did not bought a lottery ticket this week then I did not won the million dollar jackpot.
8g) I did not bought a lottery ticket this week and I did not won the million dollar jackpot
8h) I did not bought a lottery ticket this week or I bought a lottery ticket this week and I won the million dollar jackpot.

 p = Swimming at the New Jersey shore is allowed
q = Sharks have been spotted near the shore

 9)
9a) it is not the case that Sharks have been spotted near the shore
9b) Swimming at the New Jersey shore is allowed and Sharks have been spotted near the shore
9c) Swimming at the New Jersey shore is NOT allowed or Sharks have been spotted near the shore
9d) if Swimming at the New Jersey shore is allowed then Sharks have NOT been spotted near the shore
9e) if Swimming at the New Jersey shore is NOT allowed then Sharks have been spotted near the shore
9f) if Swimming at the New Jersey shore is NOT allowed then Sharks have NOT been spotted near the shore
9g) Swimming at the New Jersey shore is allowed if and only if Sharks have NOT been spotted near the shore
9h) Swimming at the New Jersey shore is NOT allowed and Swimming at the New Jersey shore is allowed or Sharks have NOT been spotted near the shore

 10) 10a) 10b) 10c) 10d)
11) 11a) 11b) 11c) 11d)
12) 12a) 12b) 12c) 12d)
13) 13a) 13b) 13c) 13d)
14) 14a) 14b) 14c) 14d)
15) 15a) 15b) 15c) 15d)
16) 16a) 16b) 16c) 16d)
17) 17a) 17b) 17c) 17d)
18) 18a) 18b) 18c) 18d)
19) 19a) 19b) 19c) 19d)
20) 20a) 20b) 20c) 20d)
21) 21a) 21b) 21c) 21d)
22) 22a) 22b) 22c) 22d)
23) 23a) 23b) 23c) 23d)
24) 24a) 24b) 24c) 24d)
25) 25a) 25b) 25c) 25d)
26) 26a) 26b) 26c) 26d)
27) 27a) 27b) 27c) 27d)
28) 28a) 28b) 28c) 28d)
29) 29a) 29b) 29c) 29d)
30) 30a) 30b) 30c) 30d)
31) 31a) 31b) 31c) 31d)
32) 32a) 32b) 32c) 32d)
33) 33a) 33b) 33c) 33d)
34) 34a) 34b) 34c) 34d)
35) 35a) 35b) 35c) 35d)
36) 36a) 36b) 36c) 36d)
37) 37a) 37b) 37c) 37d)
38) 38a) 38b) 38c) 38d)
39) 39a) 39b) 39c) 39d)
40) 40a) 40b) 40c) 40d)
41) 41a) 41b) 41c) 41d)
42) 42a) 42b) 42c) 42d)
43) 43a) 43b) 43c) 43d)
44) 44a) 44b) 44c) 44d)
45) 45a) 45b) 45c) 45d)
46) 46a) 46b) 46c) 46d)
47) 47a) 47b) 47c) 47d)
48) 48a) 48b) 48c) 48d)
49) 49a) 49b) 49c) 49d)

50) 50a) 50b) 50c) 50d)


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