1) Each problem consists of three statements, the first two statements are true and please select...
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1) Each problem consists of three statements, the first two statements are true and please select if the third statement is true, false or uncertain by using your logical reasoning skills. (10 Points) a) Bob is older than Alice. Alice is younger than Ted. Ted is older than Bob. A. True False Uncertain B. C. b) All trees in the park are flowering trees. Some of the trees in the park are Magnolia. All Magnolias in the park are flowering trees. A. True B. False C. Uncertain c) All of the offices on the 11 floor have wall-to-wall carpeting. No wall-to-wall carpeting is pink. None of the offices on the 11 floor has pink wall-to-wall carpeting. A. True False B. C. Uncertain 2) A and B are sets and they are defined below. Answer the following questions. (10 Points) U- {1, 2, 3, 4, 5, f, b, 9, 1, 0, j) A= (1, 3, 5, f, b, t, 0) B- (4, 5, 9, 1, 1) a) BIA is it true or false? b) A-B? c) B-A? d) A-U? A É B? e) f) AÇ B? g) BÇU? h) |B? i) B- (AÇ B)? j) A-(AÇ B)? k) A¹? DAÇBÇU? m) ADB? 3) There are 307 students in a high school. 31 of them are taking Biology, Physics and Math at the same time. 60 students are taking Physics and Math, 54 are taking Physics and Biology, 79 are taking Biology and Math.144 students are taking Math, 113 are taking Physics, 108 are taking Biology. How many students does not take any of these courses? (Show your work) (10 Points) 4) Which of the following statement is a proposition? (10 Points) a) Where are you going? b) It is a sunny day. c) Your eyes are beautiful. d) God bless you! e) The only odd prime number is 2. 5) Which of the following option is true? (10 Points) a) If Jupiter is a planet, lions will fly b) 3+5 9 if 5-4-3 c) 2>5 and 5 is a positive integer d) -2<4 or 4 is a negative integer e) 17+5=22 and 17 is not prime 6) Let P: We should be honest. Q: We should be dedicated. R. We should be overconfident. Then "We should be honest or dedicated but not overconfident' is best represented by? (10 Points) a) ØPÚØQÚR b) PŮØQUR c) PÚQUR d) PÚQUØR 7) Assume that p and q are true and that r and s false, find the value of each following propositions. (10 Points) a) p®q b) Op®q c) (p® q) U (q Ⓡr) d) (p®r)®q e) (s® (p Ür)) U ((p ® (r Úq)) Ús) f) ((p Ù Ø q) ® (q Ür)) Ⓡ (sÚ Ø q) g) (p Ùr) «r h) (q Úr) «<r We should be overconfident. Then we should be honest or dedicated but not overconfident" is best represented by? (10 Points) a) ØPÚØQÚR b) PÙØQ ÚR c) PÚQUR d) PÚQÙØR 7) Assume that p and q are true and that r and s false, find the value of each following propositions. (10 Points) a) p® q b) Op® q c) (p® q) U (q Ⓡr) d) (p ®r) ® q e) (s® (p Ù r)) U ((p® (r Ú q)) Ús) f) ((p Ù Ø q) ® (q Ür)) Ⓡ (sÚ Ø q) g) (p Ür) «r h) (q Úr) «<r 8) Determine the type of the following functions or if they are a function. Show how you determined. (10 Points) Domain is X = {2, 3, Domain is X = {0, 2. Domain is X = {1, 4, a) f= {(2, c), (3, d), (7, k), (0, a) 7, 0) Codomain Y= {c, d, k. a) b) f= {(5, a), (2, b), (3, a), (0, t) 3, 5) Codomain Y = (a, b, t) c) f= {(1, r). (4, a), (8, w), (4, f) 8) Codomain Y = (a, f. r, w) 9) Determine whether each function is one-to-one, onto or both. Show your work. The domain of each function is set of all integers and the codomain of each function is also the set of integers. (10 Points) a) f(x)=x²-9 b) f(x)=x c) f(x) = x d) f(x) = 7x 10) Insert the keys 18, 21, 35, 40, 41, 53, 57, 80, 82, 91, 101 in this order into an array that has 17 slots by using linear probe technique. (hint= x mod 17). Show your work. (10 Points) 1) Each problem consists of three statements, the first two statements are true and please select if the third statement is true, false or uncertain by using your logical reasoning skills. (10 Points) a) Bob is older than Alice. Alice is younger than Ted. Ted is older than Bob. A. True False Uncertain B. C. b) All trees in the park are flowering trees. Some of the trees in the park are Magnolia. All Magnolias in the park are flowering trees. A. True B. False C. Uncertain c) All of the offices on the 11 floor have wall-to-wall carpeting. No wall-to-wall carpeting is pink. None of the offices on the 11 floor has pink wall-to-wall carpeting. A. True False B. C. Uncertain 2) A and B are sets and they are defined below. Answer the following questions. (10 Points) U- {1, 2, 3, 4, 5, f, b, 9, 1, 0, j) A= (1, 3, 5, f, b, t, 0) B- (4, 5, 9, 1, 1) a) BIA is it true or false? b) A-B? c) B-A? d) A-U? A É B? e) f) AÇ B? g) BÇU? h) |B? i) B- (AÇ B)? j) A-(AÇ B)? k) A¹? DAÇBÇU? m) ADB? 3) There are 307 students in a high school. 31 of them are taking Biology, Physics and Math at the same time. 60 students are taking Physics and Math, 54 are taking Physics and Biology, 79 are taking Biology and Math.144 students are taking Math, 113 are taking Physics, 108 are taking Biology. How many students does not take any of these courses? (Show your work) (10 Points) 4) Which of the following statement is a proposition? (10 Points) a) Where are you going? b) It is a sunny day. c) Your eyes are beautiful. d) God bless you! e) The only odd prime number is 2. 5) Which of the following option is true? (10 Points) a) If Jupiter is a planet, lions will fly b) 3+5 9 if 5-4-3 c) 2>5 and 5 is a positive integer d) -2<4 or 4 is a negative integer e) 17+5=22 and 17 is not prime 6) Let P: We should be honest. Q: We should be dedicated. R. We should be overconfident. Then "We should be honest or dedicated but not overconfident' is best represented by? (10 Points) a) ØPÚØQÚR b) PŮØQUR c) PÚQUR d) PÚQUØR 7) Assume that p and q are true and that r and s false, find the value of each following propositions. (10 Points) a) p®q b) Op®q c) (p® q) U (q Ⓡr) d) (p®r)®q e) (s® (p Ür)) U ((p ® (r Úq)) Ús) f) ((p Ù Ø q) ® (q Ür)) Ⓡ (sÚ Ø q) g) (p Ùr) «r h) (q Úr) «<r We should be overconfident. Then we should be honest or dedicated but not overconfident" is best represented by? (10 Points) a) ØPÚØQÚR b) PÙØQ ÚR c) PÚQUR d) PÚQÙØR 7) Assume that p and q are true and that r and s false, find the value of each following propositions. (10 Points) a) p® q b) Op® q c) (p® q) U (q Ⓡr) d) (p ®r) ® q e) (s® (p Ù r)) U ((p® (r Ú q)) Ús) f) ((p Ù Ø q) ® (q Ür)) Ⓡ (sÚ Ø q) g) (p Ür) «r h) (q Úr) «<r 8) Determine the type of the following functions or if they are a function. Show how you determined. (10 Points) Domain is X = {2, 3, Domain is X = {0, 2. Domain is X = {1, 4, a) f= {(2, c), (3, d), (7, k), (0, a) 7, 0) Codomain Y= {c, d, k. a) b) f= {(5, a), (2, b), (3, a), (0, t) 3, 5) Codomain Y = (a, b, t) c) f= {(1, r). (4, a), (8, w), (4, f) 8) Codomain Y = (a, f. r, w) 9) Determine whether each function is one-to-one, onto or both. Show your work. The domain of each function is set of all integers and the codomain of each function is also the set of integers. (10 Points) a) f(x)=x²-9 b) f(x)=x c) f(x) = x d) f(x) = 7x 10) Insert the keys 18, 21, 35, 40, 41, 53, 57, 80, 82, 91, 101 in this order into an array that has 17 slots by using linear probe technique. (hint= x mod 17). Show your work. (10 Points)
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Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
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