(a) To list all of the following that must be true if R is reflexive (but not symmetric or transitive). c R b c R c a R c b R a a R d e R a e R d c R a

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Answer 1

Question

Chapter 8.3, Problem 1ES

To determine

(a)

To list all of the following that must be true if R is reflexive (but not symmetric or transitive).

c R b c R c a R c b R a a R d e R a e R d c R a

To determine

(b)

To list all of the following that must be true if R is symmetric (but not reflexive or transitive):

c R b c R c a R c b R a a R d e R a e R d c R a

To determine

(c)

To list all of the following that must be true if R is transitive (but not reflexive or symmetric):

c R b c R c a R c b R a a R d e R a e R d c R a.

To determine

(d)

To list all of the following that must be true if R is: an equivalence relation.

c R b c R c a R c b R a a R d e R a e R d c R a.

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Please show as much work as possible to clearly show the steps you used to find each solution. If you plan to use a calculator, please be sure to clearly indicate your strategy. 1. The probability of a soccer game in a particular league going into overtime is 0.125. Find the following: a. The odds in favour of a game going into overtime. b. The odds in favour of a game not going into overtime. c. If the teams in the league play 100 games in a season, about how many games would you expect to go into overtime?

Answer 2

Question

Chapter 8.3, Problem 1ES

To determine

(a)

To list all of the following that must be true if R is reflexive (but not symmetric or transitive).

c R b c R c a R c b R a a R d e R a e R d c R a

To determine

(b)

To list all of the following that must be true if R is symmetric (but not reflexive or transitive):

c R b c R c a R c b R a a R d e R a e R d c R a

To determine

(c)

To list all of the following that must be true if R is transitive (but not reflexive or symmetric):

c R b c R c a R c b R a a R d e R a e R d c R a.

To determine

(d)

To list all of the following that must be true if R is: an equivalence relation.

c R b c R c a R c b R a a R d e R a e R d c R a.

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Answer 3

Question

Chapter 8.3, Problem 1ES

To determine

(a)

To list all of the following that must be true if R is reflexive (but not symmetric or transitive).

c R b c R c a R c b R a a R d e R a e R d c R a

To determine

(b)

To list all of the following that must be true if R is symmetric (but not reflexive or transitive):

c R b c R c a R c b R a a R d e R a e R d c R a

To determine

(c)

To list all of the following that must be true if R is transitive (but not reflexive or symmetric):

c R b c R c a R c b R a a R d e R a e R d c R a.

To determine

(d)

To list all of the following that must be true if R is: an equivalence relation.

c R b c R c a R c b R a a R d e R a e R d c R a.

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See solution

Answer 4

Question

Chapter 8.3, Problem 1ES

To determine

(a)

To list all of the following that must be true if R is reflexive (but not symmetric or transitive).

c R b c R c a R c b R a a R d e R a e R d c R a

To determine

(b)

To list all of the following that must be true if R is symmetric (but not reflexive or transitive):

c R b c R c a R c b R a a R d e R a e R d c R a

To determine

(c)

To list all of the following that must be true if R is transitive (but not reflexive or symmetric):

c R b c R c a R c b R a a R d e R a e R d c R a.

To determine

(d)

To list all of the following that must be true if R is: an equivalence relation.

c R b c R c a R c b R a a R d e R a e R d c R a.

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See solution

Answer 5

Chapter 8.3, Problem 1ES

To determine

(a)

To list all of the following that must be true if R is reflexive (but not symmetric or transitive).

c R b c R c a R c b R a a R d e R a e R d c R a

To determine

(b)

To list all of the following that must be true if R is symmetric (but not reflexive or transitive):

c R b c R c a R c b R a a R d e R a e R d c R a

To determine

(c)

To list all of the following that must be true if R is transitive (but not reflexive or symmetric):

c R b c R c a R c b R a a R d e R a e R d c R a.

To determine

(d)

To list all of the following that must be true if R is: an equivalence relation.

c R b c R c a R c b R a a R d e R a e R d c R a.

Answer 6

Chapter 8.3, Problem 1ES

To determine

(a)

To list all of the following that must be true if R is reflexive (but not symmetric or transitive).

c R b c R c a R c b R a a R d e R a e R d c R a

Answer 7

Chapter 8.3, Problem 1ES

To determine

(a)

To list all of the following that must be true if R is reflexive (but not symmetric or transitive).

c R b c R c a R c b R a a R d e R a e R d c R a

Answer 8

To determine

(b)

To list all of the following that must be true if R is symmetric (but not reflexive or transitive):

c R b c R c a R c b R a a R d e R a e R d c R a

Answer 9

To determine

(b)

To list all of the following that must be true if R is symmetric (but not reflexive or transitive):

c R b c R c a R c b R a a R d e R a e R d c R a

Answer 10

To determine

(c)

To list all of the following that must be true if R is transitive (but not reflexive or symmetric):

c R b c R c a R c b R a a R d e R a e R d c R a.

Answer 11

To determine

(c)

To list all of the following that must be true if R is transitive (but not reflexive or symmetric):

c R b c R c a R c b R a a R d e R a e R d c R a.

Answer 12

To determine

(d)

To list all of the following that must be true if R is: an equivalence relation.

c R b c R c a R c b R a a R d e R a e R d c R a.

Answer 13

To determine

(d)

To list all of the following that must be true if R is: an equivalence relation.

c R b c R c a R c b R a a R d e R a e R d c R a.

Answer 14

Expert Solution & Answer

Answer 15

Expert Solution & Answer

Answer 16

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Answer 17

Ch. 8.1 - If R is a relation from A to B, xA , and yB , the...Ch. 8.1 - Prob. 2TY Ch. 8.1 - Prob. 3TY Ch. 8.1 - Prob. 4TY Ch. 8.1 - If R is a relation on a set A, the directed graph...Ch. 8.1 - As in Example 8.1.2, the congruence modulo 2...Ch. 8.1 - Prove that for all integers m and n,m-n is even...Ch. 8.1 - The congruence modulo 3 relation, T, is defined...Ch. 8.1 - Define a relation P on Z as follows: For every...Ch. 8.1 - Prob. 5ES

(a) To list all of the following that must be true if R is reflexive (but not symmetric or transitive). c R b c R c a R c b R a a R d e R a e R d c R a

Solution Summary: The author explains how to list all of the following that must be true if R is reflexive (but not symmetric or transitive).

Videos

(a)

To list all of the following that must be true if R is reflexive (but not symmetric or transitive).

c R b c R c a R c b R a a R d e R a e R d c R a

(b)

To list all of the following that must be true if R is symmetric (but not reflexive or transitive):

c R b c R c a R c b R a a R d e R a e R d c R a

(c)

To list all of the following that must be true if R is transitive (but not reflexive or symmetric):

c R b c R c a R c b R a a R d e R a e R d c R a.

(d)

To list all of the following that must be true if R is: an equivalence relation.

c R b c R c a R c b R a a R d e R a e R d c R a.

Want to see the full answer?

Chapter 8 Solutions

(a) To list all of the following that must be true if R is reflexive (but not symmetric or transitive). c R b c R c a R c b R a a R d e R a e R d c R a

Solution Summary: The author explains how to list all of the following that must be true if R is reflexive (but not symmetric or transitive).

Videos

(a) To list all of the following that must be true if R is reflexive (but not symmetric or transitive). c R b c R c a R c b R a a R d e R a e R d c R a

(b) To list all of the following that must be true if R is symmetric (but not reflexive or transitive): c R b c R c a R c b R a a R d e R a e R d c R a

(c) To list all of the following that must be true if R is transitive (but not reflexive or symmetric): c R b c R c a R c b R a a R d e R a e R d c R a.

(d) To list all of the following that must be true if R is: an equivalence relation. c R b c R c a R c b R a a R d e R a e R d c R a.

Want to see the full answer?

Chapter 8 Solutions

(a)

To list all of the following that must be true if R is reflexive (but not symmetric or transitive).

c R b c R c a R c b R a a R d e R a e R d c R a

(b)

To list all of the following that must be true if R is symmetric (but not reflexive or transitive):

c R b c R c a R c b R a a R d e R a e R d c R a

(c)

To list all of the following that must be true if R is transitive (but not reflexive or symmetric):

c R b c R c a R c b R a a R d e R a e R d c R a.

(d)

To list all of the following that must be true if R is: an equivalence relation.

c R b c R c a R c b R a a R d e R a e R d c R a.