Only b and c

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Only b and c

Let O be the relation defined on Z as follows.
For every m, n EZ, m On mnis odd.
(a) Is O reflexive?
No ✔
I
because when m = 0
(b) Is O symmetric?
Yes ✔ because ---Select--- integers m and n, if m - n is odd then ? - m ---Select--- odd.
(c) Is O transitive?
✓then m - m is not ✔ odd.
No, because when m = 8, n =
---Select--- odd.
, and o =
then m - n ---Select--odd, n- o ---Select--- odd, and m - o
Transcribed Image Text:Let O be the relation defined on Z as follows. For every m, n EZ, m On mnis odd. (a) Is O reflexive? No ✔ I because when m = 0 (b) Is O symmetric? Yes ✔ because ---Select--- integers m and n, if m - n is odd then ? - m ---Select--- odd. (c) Is O transitive? ✓then m - m is not ✔ odd. No, because when m = 8, n = ---Select--- odd. , and o = then m - n ---Select--odd, n- o ---Select--- odd, and m - o
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