As in Example 8.1.2, the congruence modulo 2 relation E is defined from Z to Z as
Chapter 8, Problem 1(choose chapter or problem)
As in Example 8.1.2, the congruence modulo 2 relation E is defined from Z to Z as follows: For all integers m and n,
m E n \(\Leftrightarrow\) m − n is even.
a. Is 0 E 0? Is 5 E 2? Is (6, 6) \(\in\) E? Is (−1, 7) \(\in\) E?
b. Prove that for any even integer n,n E 0.
Text Transcription:
Leftrightarrow
in
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