Define a relation R on Z as follows: For all integers m and n, 51(m² - n²). mRn (a) Is 1 R (-4)? Yes No (b) Is 2 R 12? Yes No (c) Is 2 R (-7)? Yes No (d) Is (-7) R 2? Yes O No

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.2: Remainder And Factor Theorems
Problem 49PS
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Define a relation R on Z as follows: For all integers m and n,
51(m² - n²).
mRn
(a) Is 1 R (-4)?
Yes
No
(b) Is 2 R 12?
Yes
No
(c) Is 2 R (-7)?
Yes
No
(d) Is (-7) R 2?
Yes
O No
Transcribed Image Text:Define a relation R on Z as follows: For all integers m and n, 51(m² - n²). mRn (a) Is 1 R (-4)? Yes No (b) Is 2 R 12? Yes No (c) Is 2 R (-7)? Yes No (d) Is (-7) R 2? Yes O No
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