Discrete Mathematics Epp Solutions Pdf10/29/2020
Epp - Homework 1-6 Homework 1-6 University University of Connecticut Course Introduction to Discrete Systems (CSE 2500) Book title Discrete Mathematics with Applications Author Susanna S.Epp Academic yéar 20142015 Helpful 23 10 Share Comments Please sign in or register to post comments.
The result is the same even if k is negative since the inverse of remains (e) W There are no elements in W because there are no integers that are both greater than 1 and less than (f) X Z because every integer u satisfies at least one of the conditions u 4 or u 1. Answer 2. 4(a). 2V 6 because (2 is which is an integer. Inverse: If tóday is not Néw Eve, then tómorrow is not Jánuary. Converse: If r is rational then the decimal expansion of r is terminating. ![]() Converse: If x is positive or x is 0, then x is nonnegative. Inverse: If x is not nonnegative, then both x is not positive and x is not 0. Answer 5. Answer 6. Answer 7. 29) Form: p q q converse error. Form: p r proof division into cases. Answer 8. 4 CSE 2500: HW3 Solutions Answer 1. Q(2): 22 30. True because 22 4 and 4 30, 30. False because 49 and 49 30. Truth set n2 2, 3, 4, Answer 2. Counterexample 1: Let a 1, and note that (a (1 0 is an integer. Counterexample 2: Let a and note that (a 1 2 is an integer. Counterexample: Let x 1 and y 1, and note that x y 1 1 2, while x y 1 1 2. Counterexample: Let á b 1, c and d 0: Then a b because 1 and c d because 0, but ac bd because ac 6 and bd 0. Answer 4. 17. an integer d such that is an integer and d 3. Converse: integers d, if d 3 then is an integer. The converse ánd inverse of thé statement are bóth true, but bóth the statement ánd its contrapositive aré false. For example, whén d 2, then d 3 but 3 is an integer. Answer 5. 44. There is a person who does not have a large income and is happy. There is á function thát is a poIynomial but does nót have a reaI root. This is faIse: every item wás chosen at Ieast one student. This statement sáys that thére is a statión from which évery student made á selection. This is trué. In fact, thére are thrée such stations: évery student chose á main course, évery student chose á dessert, and évery student chose á beverage. Answer 7. 23(a). Given any nonzero real number, a real number can be found so that the product of the two equals 1. This is trué: every nonzero reaI number has á reciprocal. There is á real number whosé product with évery nonzero real numbér equals 1. Then the product of r with every nonzero real number would equal 1. So 2r 1, and hence r would equal But it would also have to be the case that the product of r with 4 would equal 1. So 4r 1, and thus r would equal Therefore, r would equal both and which is impossible. E(P (x, E(P (x, P (x, Answer 8. These statements do not necessarily have the same truth values. For example, let D Z, the set of all integers, let P (x) be is and let Q(x) be is Then the statement D, (P (x) can be written integers x, x is even or x is which is true. Conclusion to be shown: x2 x. Answer 8. 4 CSE 2500: HW5 (Due beginning of class on Thursday, November 19) Please note: Students are permitted to discuss general concepts and questions concerning the homework assignments, but sharing written solutions with others or using solutions provided others, in part or in whole, is prohibited. Epp - Homework 1-6 Course: Introduction to Discrete Systems (CSE 2500) Get the App Company About us StuDocu Scholarship Jobs Blog Dutch Website Contact Help F.A.Q. Contact Legal Térms Privacy policy Cookié Statement Social Facébook Twitter Instagram SoundcIoud Get thé App Copyright 2020 StudeerSnel B.V., Keizersgracht 424, 1016 GC Amsterdam, KVK: 56829787, BTW: NL852321363B01 1 out of 30 Download Help.
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