# DM - Lattice & Group -Q15

Consider the following sentences :

1. $\dpi{100} [R, | ]$ is  poset. Where R is the set of all real numbers and | is the divisibility relation i.e. for any a,b $\dpi{100} \in$ R,  a|b iff there is some c $\dpi{100} \in$ R such that  $\dpi{100} b=a*c$.

2. If a relation R on a set A is irreflexive and transitive then R is antisymmetric.

Which of the above statements is correct ?

(A). Only 1

(B). Only 2

(C). Both

(D). None

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