7. (Relations) Consider the set A= (1,2, 3, 4, 5), and a relation R defined by zRy -y is an integor multiple of 3. (a) List all elemeuts y for which 1Ry is true. (b) Is R reflexive? Justify. (e) Is Rsymmetrie? Justify. (d) Is Rantisymmetrie? Justify.

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7. (Relations) Consider the set A = {1,2,3, 4, 5), and a relation R defined by
zRy - 2-y is an integer multiple of 3.
(a) List all elements y for which LRy is true.
(b) Is R reflexive? Justify.
(e) Is R symmetric? Justify.
(d) Is Rantisymmetrie? Justify.
(e) Is R transitive? Justify.
Transcribed Image Text:7. (Relations) Consider the set A = {1,2,3, 4, 5), and a relation R defined by zRy - 2-y is an integer multiple of 3. (a) List all elements y for which LRy is true. (b) Is R reflexive? Justify. (e) Is R symmetric? Justify. (d) Is Rantisymmetrie? Justify. (e) Is R transitive? Justify.
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