Solution to Describe the Hasse diagram formed by the Relation "x is a divisor of y" for … - Sikademy
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Archangel Macsika

Describe the Hasse diagram formed by the Relation "x is a divisor of y" for the set A = {1, 3, 6, 12, 24, 48}

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A Hasse diagram is a type of mathematical diagram used to represent a finite partially ordered set, in the form of a drawing of its transitive reduction. Concretely, for a partially ordered set (A, ≤) one represents each element of A as a vertex in the plane and draws a line segment or curve that goes upward from x to whenever y covers x (that is, whenever x ≤ y and there is no z such that x ≤ z ≤ y ). These curves may cross each other but must not touch any vertices other than their endpoints. Such a diagram, with labeled vertices, uniquely determines its partial order.

In our case, iff x\le y iff x a divisor of y. The Hasse diagram is the following:


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Question ID: mtid-5-stid-8-sqid-2738-qpid-1208