(9) Consider the relation R on the set {1,2,3,4,5) given by R= {(1,1), (2, 2), (3, 2), (1, 3), (1,2), (1,5), (3,3)}. (a) Draw the digraph of R. (b) Establish whether each of the following statements is true or false. If false, explain why. (i) R is antisymmetric. (ii) R is reflexive. (iii) R is transitive.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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(9) Consider the relation R on the set {1,2,3,4,5) given by
R= {(1, 1), (2, 2), (3, 2), (1, 3), (1, 2), (1,5), (3,3)}.
(a) Draw the digraph of R.
(b) Establish whether each of the following statements is true or false. If false, explain why.
(i) R is antisymmetric.
(ii) R is reflexive.
(iii) R is transitive.
Transcribed Image Text:Question: (9) Consider the relation R on the set {1,2,3,4,5) given by R= {(1, 1), (2, 2), (3, 2), (1, 3), (1, 2), (1,5), (3,3)}. (a) Draw the digraph of R. (b) Establish whether each of the following statements is true or false. If false, explain why. (i) R is antisymmetric. (ii) R is reflexive. (iii) R is transitive.
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