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Which relation below is a total order? O A = {2,3,4} ordered by the relation R on A defined as follows: Va, b A, a Rb mod a) = (6 mod b). (5 The relation R on Z defined as follows: Vm, n € Z, m Rn every prime factor of m is a prime factor of n. Let A = {a, b, c, d} and let R be the relation R = {(a, a), (b, b) (c, c), (d, d), (c, a),(a, d), (c,d), (b, c), (b, d), (b, a)}

Which relation below is a total order? O A = {2,3,4} ordered by the relation R on A defined as follows: Va, b A, a Rb mod a) = (6 mod b). (5 The relation R on Z defined as follows: Vm, n € Z, m Rn every prime factor of m is a prime factor of n. Let A = {a, b, c, d} and let R be the relation R = {(a, a), (b, b) (c, c), (d, d), (c, a),(a, d), (c,d), (b, c), (b, d), (b, a)}

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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Which relation below is a total order? A = {2,3,4} ordered by the relation R on A defined as follows: Va, b A, a Rb mod a) = (6 mod b). (5 The relation R on Z defined as follows: Vm, n € Z, m Rn every prime factor of m is a prime factor of n. Let A = {a, b, c, d} and let R be the relation R = {(a, a), (b, b) (c, c), (d, d), (c, a),(a, d), (c,d), (b, c), (b, d), (b, a)}
Transcribed Image Text:Which relation below is a total order? A = {2,3,4} ordered by the relation R on A defined as follows: Va, b A, a Rb mod a) = (6 mod b). (5 The relation R on Z defined as follows: Vm, n € Z, m Rn every prime factor of m is a prime factor of n. Let A = {a, b, c, d} and let R be the relation R = {(a, a), (b, b) (c, c), (d, d), (c, a),(a, d), (c,d), (b, c), (b, d), (b, a)}
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