Solution to Draw the Hasse diagram for the “divides” relation on {2, 3, 5, 10, 11, 15, … - Sikademy
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Archangel Macsika

Draw the Hasse diagram for the “divides” relation on {2, 3, 5, 10, 11, 15, 25, 36, 42, 108}

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A Hasse diagram is a graphical rendering of a partially ordered set displayed via the cover relation of the partially ordered set with an implied upward orientation. A point is drawn for each element of the poset, and line segments are drawn between these points according to the following two rules:

1. If x<y  in the poset, then the point corresponding to x appears lower in the drawing than the point corresponding to y.

2. The line segment between the points corresponding to any two elements  x and  y of the poset is included in the drawing iff  x covers y  or  y  covers x.

In our case, x<y if and only if x|y. Therefore, the Hasse diagram is the following:

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Question ID: mtid-5-stid-8-sqid-2642-qpid-1112