) 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 OC. Transitive OD. None of the above

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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) 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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