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If 'I' denotes the 'divides' relation, then what can be said about 'b' if (2 | b) ^ (b | 2) (2 divides b and b divides 2)? What if (p | b) ^ (b | p) for any prime number p?

If 'I' denotes the 'divides' relation, then what can be said about 'b' if (2 | b) ^ (b | 2) (2 divides b and b divides 2)? What if (p | b) ^ (b | p) for any prime number p?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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If I' denotes the 'divides' relation, then what can be said about 'b' if (2 | b) ^ (b | 2) (2 divides b and b divides 2)? What if (p | b) ^ (b | p) for any prime number p?
Transcribed Image Text:If I' denotes the 'divides' relation, then what can be said about 'b' if (2 | b) ^ (b | 2) (2 divides b and b divides 2)? What if (p | b) ^ (b | p) for any prime number p?
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