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1) Which of the following statement is a proposition? a. The only odd prime number is 7 b. Have a good day! c. How
1) Which of the following statement is a proposition? a. The only odd prime number is 7 b. Have a good day! c. How are you doing? d. This is a beautiful car. e. The weather is cold. 2) What is the truth value of 7+4-11 or 13 is not prime? a) False b) True 3) Which of the following option is true? a. If you study for your class, you can get an A b. If the Sun is a planet, elephants will fly c. 3 >1 and 3 is an even integer d. -2> 3 or 5 is a negative integer 4) Let P: I am in New Jersey; Q: New Jersey is cold; write p 5) Let P: This is a great restaurant; Q: You should not come back here. Then "This is a great restaurant and you should come back here' is best represented by? a. PQ b. PQ c. PQ d. PQ 6) P: The Democrats win Q: The Republicans win R: Unemployment is up S: The economy is up a. "If Democrats win or the Republicans win, then unemployment is up or the economy is up." Write this conditional proposition in mathematical symbols. b. "If the Democrats win, then the economy is up; and, if the Republicans win, then unemployment is up. e. If the Democrats win, then the economy is up d. If the Republicans win, then the unemployment is up. e. The Republicans and Democrats do not both win. 4) Let P: I am in New Jersey; Q: New Jersey is cold; write p 5) Let P: This is a great restaurant; Q: You should not come back here. Then "This is a great restaurant and you should come back here' is best represented by? a. PQ b.P Q c. PQ d. P Q 6) P: The Democrats win Q: The Republicans win R: Unemployment is up S: The economy is up a. "If Democrats win or the Republicans win, then unemployment is up or the economy is up." Write this conditional proposition in mathematical symbols. b. "If the Democrats win, then the economy is up; and, if the Republicans win, then unemployment is up. c. If the Democrats win, then the economy is up d. If the Republicans win, then the unemployment is up. e. The Republicans and Democrats do not both win. 7) Assume that p and r are false and that q and s are true, find the value of each following propositions. a) pq b) O pq c) (p q) U (q r) d) (p r) q ) (s (pOr) ((p (rq))s) f) ((p q) (q r)) (s q) g) (pur) r h) (q r)
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