Define a relation R on Z as follows: For all integers m and n, mRn 5

Chapter 8, Problem 7

(choose chapter or problem)

Define a relation R on Z as follows: For all integers m and n,

m J n \(\Leftrightarrow\) 5 | (\(m^{2}-n^{2}\)).

a. Is 1 R (−9)?

b. Is 2 R 13?

c. Is 2 R (−8)?

d. Is (−8) R 2?

Text Transcription:

Leftrightarrow

m^2 - n^2

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