Partial Orders, Strict. Orders, Total Orders

For questions $12-17,$ define a relation $R$ on a set $Asube{Z}^{+}$such that for $x,$yinA, $xRy$ if $x|y||.$

Question $12(3$ points$)$

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For distinct $x$ and $y,$ if $x|y||$ then $\frac{y}{\frac{?}{?}}$xRAR$AEEa,bin{Z}^{+}y=$axz$=z=(ba)xZRx$ and therefore$\frac{y}{\frac{?}{?}}x.$ Thus, $Ris$ A Since every positive integer $is$ a factor $of$ itself, $Ris$ A Suppose EEa,$bin{Z}^{+}$such that $y=ax$ and $z=by.$ Then $z=(ba)x,$ and because $Zis$ closed under multiplication this means $RisA$