**Let X = {2, 3, 6, 12, 24, 36}and relation be such that "x y" if x divides y then draw a Hasse diagram of (X, ).**

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Solution.

For the set X = { 2,3,6,12,24,36}, a relation ≤ is defined as x ≤ y if x divides y.

R={(2,2),(2,6),(2,12),(2,24),(2,36),(6,6),(6,12),(6,24),(6,36),(12,12),(12,24),(12,36),(24,24),(3,3),(3,6),(3,12),(3,24),(3,36)}.