Finite Mathematics
7th Edition
ISBN: 9781337280426
Author: Stefan Waner, Steven Costenoble
Publisher: Cengage Learning
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Textbook Question
Chapter A, Problem 65E
Use truth tables to verify the logical equivalences given in Exercises 63–72.
(Commutative law for disjunction)
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Determine whether each function is an injection and determine whether each is a surjection.The notation Z_(n) refers to the set {0,1,2,...,n-1}. For example, Z_(4)={0,1,2,3}. f: Z_(6) -> Z_(6) defined by f(x)=x^(2)+4(mod6). g: Z_(5) -> Z_(5) defined by g(x)=x^(2)-11(mod5). h: Z*Z -> Z defined by h(x,y)=x+2y. j: R-{3} -> R defined by j(x)=(4x)/(x-3).
Determine whether each function is an injection and determine whether each is a surjection.
Let A
=
{a, b, c, d}, B = {a,b,c}, and C = {s, t, u,v}. Draw an arrow diagram of a function
for each of the following descriptions. If no such function exists, briefly explain why.
(a) A function f : AC whose range is the set C.
(b) A function g: BC whose range is the set C.
(c) A function g: BC that is injective.
(d) A function j : A → C that is not bijective.
Chapter A Solutions
Finite Mathematics
Ch. A - Which of Exercises 110 are statements? Comment on...Ch. A - Which of Exercises 110 are statements? Comment on...Ch. A - Prob. 3ECh. A - Prob. 4ECh. A - Prob. 5ECh. A - Prob. 6ECh. A - Prob. 7ECh. A - Prob. 8ECh. A - Prob. 9ECh. A - Prob. 10E
Ch. A - Prob. 11ECh. A - Prob. 12ECh. A - Prob. 13ECh. A - Prob. 14ECh. A - Prob. 15ECh. A - Prob. 16ECh. A - Prob. 17ECh. A - Let p: Willis is a good teacher, q: Carla is a...Ch. A - Prob. 19ECh. A - Prob. 20ECh. A - Let p: Willis is a good teacher, q: Carla is a...Ch. A - Prob. 22ECh. A - Prob. 23ECh. A - Prob. 24ECh. A - Prob. 25ECh. A - Prob. 26ECh. A - Prob. 27ECh. A - Prob. 28ECh. A - Prob. 29ECh. A - Prob. 30ECh. A - Prob. 31ECh. A - Prob. 32ECh. A - Prob. 33ECh. A - Prob. 34ECh. A - Prob. 35ECh. A - Prob. 36ECh. A - Prob. 37ECh. A - Prob. 38ECh. A - Prob. 39ECh. A - Prob. 40ECh. A - Prob. 41ECh. A - Prob. 42ECh. A - Prob. 43ECh. A - Prob. 44ECh. A - Find the truth value of each of the statements in...Ch. A - Prob. 46ECh. A - Prob. 47ECh. A - Prob. 48ECh. A - Prob. 49ECh. A - Prob. 50ECh. A - Prob. 51ECh. A - Prob. 52ECh. A - Prob. 53ECh. A - Prob. 54ECh. A - Prob. 55ECh. A - Prob. 56ECh. A - Prob. 57ECh. A - Prob. 58ECh. A - Prob. 59ECh. A - Prob. 60ECh. A - Prob. 61ECh. A - Construct the truth tables for the statements in...Ch. A - Prob. 63ECh. A - Prob. 64ECh. A - Use truth tables to verify the logical...Ch. A - Prob. 66ECh. A - Prob. 67ECh. A - Prob. 68ECh. A - Prob. 69ECh. A - Prob. 70ECh. A - Prob. 71ECh. A - Use truth tables to verify the logical...Ch. A - Prob. 73ECh. A - Prob. 74ECh. A - Prob. 75ECh. A - Prob. 76ECh. A - Prob. 77ECh. A - Prob. 78ECh. A - Prob. 79ECh. A - Prob. 80ECh. A - Prob. 81ECh. A - Prob. 82ECh. A - Prob. 83ECh. A - Prob. 84ECh. A - In Exercises 8588, use the given logical...Ch. A - In Exercises 8588, use the given logical...Ch. A - Prob. 87ECh. A - Prob. 88ECh. A - Prob. 89ECh. A - Give the contrapositive and converse of each of...Ch. A - Prob. 91ECh. A - Prob. 92ECh. A - Prob. 93ECh. A - Prob. 94ECh. A - Prob. 95ECh. A - Prob. 96ECh. A - Prob. 97ECh. A - Prob. 98ECh. A - Prob. 99ECh. A - Prob. 100ECh. A - Prob. 101ECh. A - In Exercises 93102, write the given argument in...Ch. A - Prob. 103ECh. A - Prob. 104ECh. A - Prob. 105ECh. A - Prob. 106ECh. A - Prob. 107ECh. A - Prob. 108ECh. A - Prob. 109ECh. A - Prob. 110ECh. A - Prob. 111ECh. A - Prob. 112ECh. A - Prob. 113ECh. A - Prob. 114ECh. A - Prob. 115E
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