) The partially ordered set (Z+,≼) is the set of positive integers with the following partial order: a≼b if and only if a=b or a∣b (i.e., a divides b).   Using the partial ordering ≼ on Z+, we find that: A. 56≺86 B. 56≻86 C. 56 and 86 are incomparable D. None of the above Using the partial ordering ≼ on Z+, we find that: A. 72≻12 B. 72≺12 C. 72 and 12 are incomparable

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1) The partially ordered set (Z+,≼) is the set of positive integers with the following partial order:
a≼b if and only if a=b or a∣b (i.e., a divides b).

 

Using the partial ordering ≼ on Z+, we find that:
A. 56≺86
B. 56≻86
C. 56 and 86 are incomparable
D. None of the above

Using the partial ordering ≼ on Z+, we find that:
A. 72≻12
B. 72≺12
C. 72 and 12 are incomparable
D. None of the above

Using the partial ordering ≼ on Z+, we find that:
A. 35≻47
B. 35≺47
C. 35 and 47 are incomparable
D. None of the above

Using the partial ordering ≼ on Z+, we find that:
A. 17≻51
B. 17≺51
C. 17 and 51 are incomparable
D. None of the above

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