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1) Which of the following is the accurate conclusion of this argument "All students are hardworking. All hardworking people are patient. Alex is not a student"? (a) Alex is hardworking. (b) Alex is not hardworking (C) Alex is patient. (d) Alex is not patient

1) Which of the following is the accurate conclusion of this argument "All students are hardworking. All hardworking people are patient. Alex is not a student"? (a) Alex is hardworking. (b) Alex is not hardworking (C) Alex is patient. (d) Alex is not patient

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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Choose the correct letter of the answer. If the answer is NOT among the choices, write E. 1) Which of the following is the accurate conclusion of this argument "All students are hardworking. All hardworking people are patient. Alex is not a student"? (a) Alex is hardworking. (b) Alex is not hardworking. (C) Alex is patient. (d) Alex is not patient 2) Which of the following demonstrates 1-1 correspondence? (a) The set of natural numbers is in 1-1 correspondence with the set of integers since they are both infinite sets. (b) Two finite sets A and B are in 1-1 corespondence if their union AuB has twice the cardinality of both A and B. (c) Two infinite sets of people A and B are in 1-1 correspondence if there exists a pairing of each member of A with a member of B and vice versa, such that the resulting couples are in strictly monogamous relationships. (d) The set of rational numbers is in 1-1 correspondence with the set of integers, since every rational number is the quotient of two integers. 3) Two finite sets are equivalent if (a) they have exactly the same elements (b) they are subsets of each other (c) they have the same number of elements (d) all of the above 4) Consider a relation - on the set Z such that x - y if and only if x + y is even. The relation - is (a) reflexive (b) symmetric (c) transitive (d) all of the above 5) Which of the following is TRUE (N=natural nos, Q=rational nos., W=whole nos, Z-integers (a) Nc a (b) N and W are disjoint (c) The set of prime numbers and the set of even numbers are disjoint. (d) Z-Q =0
Transcribed Image Text:Choose the correct letter of the answer. If the answer is NOT among the choices, write E. 1) Which of the following is the accurate conclusion of this argument "All students are hardworking. All hardworking people are patient. Alex is not a student"? (a) Alex is hardworking. (b) Alex is not hardworking. (C) Alex is patient. (d) Alex is not patient 2) Which of the following demonstrates 1-1 correspondence? (a) The set of natural numbers is in 1-1 correspondence with the set of integers since they are both infinite sets. (b) Two finite sets A and B are in 1-1 corespondence if their union AuB has twice the cardinality of both A and B. (c) Two infinite sets of people A and B are in 1-1 correspondence if there exists a pairing of each member of A with a member of B and vice versa, such that the resulting couples are in strictly monogamous relationships. (d) The set of rational numbers is in 1-1 correspondence with the set of integers, since every rational number is the quotient of two integers. 3) Two finite sets are equivalent if (a) they have exactly the same elements (b) they are subsets of each other (c) they have the same number of elements (d) all of the above 4) Consider a relation - on the set Z such that x - y if and only if x + y is even. The relation - is (a) reflexive (b) symmetric (c) transitive (d) all of the above 5) Which of the following is TRUE (N=natural nos, Q=rational nos., W=whole nos, Z-integers (a) Nc a (b) N and W are disjoint (c) The set of prime numbers and the set of even numbers are disjoint. (d) Z-Q =0
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