3. Is (A, R) a partial order, a strict order, or neither if A is the set of all the students enrolled in CSC 144 and a R b, where a and b are students in CSC144 and the following condition is met. If it is neither, please indicate what property of a partial order and a strict order it violates and provide an example of where it violates that property. а. a has attended more classes than b? b. a has the same student ID number as b? с. a and b have a common friend in the same class?

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.4: Ordered Integral Domains
Problem 12E: 12. (See Exercise 10 and 11.) If each is identified with in prove that . (This means that the...
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3. Is (A, R) a partial order, a strict order, or neither if A is the set of all the students enrolled
in CSC 144 and a R b, where a and b are students in CSC144 and the following
condition is met. If it is neither, please indicate what property of a partial order and a
strict order it violates and provide an example of where it violates that property.
а.
a has attended more classes than b?
b. a has the same student ID number as b?
с.
a and b have a common friend in the same class?
Transcribed Image Text:3. Is (A, R) a partial order, a strict order, or neither if A is the set of all the students enrolled in CSC 144 and a R b, where a and b are students in CSC144 and the following condition is met. If it is neither, please indicate what property of a partial order and a strict order it violates and provide an example of where it violates that property. а. a has attended more classes than b? b. a has the same student ID number as b? с. a and b have a common friend in the same class?
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