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(c) z-y is an integer A. Reflexive B. Symmetric C. Transitive D. None of the above (d) x+y=0 A. Reflexive B. Symmetric C. Transitive D. None of the above

(c) z-y is an integer A. Reflexive B. Symmetric C. Transitive D. None of the above (d) x+y=0 A. Reflexive B. Symmetric C. Transitive D. None of the above

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 15E: Let A=R0, the set of all nonzero real numbers, and consider the following relations on AA. Decide in...
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Discrete math: please solve last 2 parts correctly

) Let Z denote the set of all integers. Determine whether each of the relations on Z given below are reflexive, symmetric, transitive, or none of the above. Select all that apply. (a) ry > 1 A. Reflexive B. Symmetric C. Transitive D. None of the above (b) z = 2y A. Reflexive B. Symmetric C. Transitive D. None of the above (c) z-y is an integer A. Reflexive B. Symmetric C. Transitive D. None of the above (d) z+y=0 A. Reflexive B. Symmetric C. Transitive D. None of the above
Transcribed Image Text:) Let Z denote the set of all integers. Determine whether each of the relations on Z given below are reflexive, symmetric, transitive, or none of the above. Select all that apply. (a) ry > 1 A. Reflexive B. Symmetric C. Transitive D. None of the above (b) z = 2y A. Reflexive B. Symmetric C. Transitive D. None of the above (c) z-y is an integer A. Reflexive B. Symmetric C. Transitive D. None of the above (d) z+y=0 A. Reflexive B. Symmetric C. Transitive D. None of the above
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