Let R be the relation defined on Z (the set of integers) as follows: For every m, n = Z, mRn 7 divides m - n Which of the following is true for R? (select the correct answer) ○ R is symmetric and transitive but it is not reflexive OR is reflexive and symmetric but it is not transitive O R is reflexive and tranzitive but it is not symmetric OR is reflexive and symmetric and transitive O R is not reflexive, it is not symmetric and it is not transitive

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let R be the relation defined on Z (the set of integers) as follows: For every m, n = Z,
mRn 7 divides m - n
Which of the following is true for R?
(select the correct answer)
○ R is symmetric and transitive but it is not reflexive
OR is reflexive and symmetric but it is not transitive
O R is reflexive and tranzitive but it is not symmetric
OR is reflexive and symmetric and transitive
O R is not reflexive, it is not symmetric and it is not transitive
Transcribed Image Text:Let R be the relation defined on Z (the set of integers) as follows: For every m, n = Z, mRn 7 divides m - n Which of the following is true for R? (select the correct answer) ○ R is symmetric and transitive but it is not reflexive OR is reflexive and symmetric but it is not transitive O R is reflexive and tranzitive but it is not symmetric OR is reflexive and symmetric and transitive O R is not reflexive, it is not symmetric and it is not transitive
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