Question

which elements of the poset ({2,4,5,10,12,20,25},/) are maximal which are minimal?
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Answer 1

Answer:

maximal is 25 and minimal is 2

I hope it will be helpful

Answer 2

Concept

Sets and Relations are used to describe relation between values which posses a common property.

Given

A poset ({2,4,5,10,12,20,25},/)

Find

Maximum and Minimum Value elements.

Solution

Poset also known as partially ordered sets helps in formulizing and generalizing the ordering , sequencing of elements in the set.

A poset contains a set and a binary operator indicating that few elements precedes other in ordering.

By observation of given poset the maximum value is 25 with respect to other elements.

Also the smallest number in the given poset is 2.

Hence the maximal and minimal values of are 25 and 2 respectively.

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