1.

The set X={1,2,3,5,30} with the partial order relation 'division' is

Answer»

Consider a relation R on a set S satisfying the following properties:

R is reflexive, i.e., xRx for EVERY X ∈ S.
R is antisymmetric, i.e., if xRy and yRx, then x = y.
R is TRANSITIVE, i.e., xRy and yRz, then xRz.
Then R is CALLED a partial order relation, and the set S together with partial order is called a partially order set or POSET and is denoted by (S, ≤).


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