If we were to make a poset of the form (A, |), where is the symbol for divisibility, which of the following sets A would yield a

Question

2 years ago

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If we were to make a poset of the form (A, |), where is the symbol for divisibility, which of the following sets A would yield a

poset that is a total ordering?
I. A- (1, 4, 16, 64)
II. A- (1.2,3, 4, 6, 12)
III. A 1,2,3, 4, 6, 12, 18, 24)
IV. A+{1 , 2, 3, 6, 12)

Mathematics

1 answer:

Marrrta [24] · Answer 1 · 2023-05-04T18:42:48+03:00

Answer:

IV. A+{1, 2, 3, 6, 12}

Step-by-step explanation:

The set of natural numbers form a poset number under relation of > or =. The discrete variables are used to form a poset. The symbols for divisibility in poset form are when an integer is divided by the variable without integer. The correct answer is therefore 4th option.