Could you share the best solution to these problems so that I can check my answer against the ideal solution, and learn from it$?$

These are the problems from a textbook's Relations chapter.

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$2\mathrm{.}42.$ Write a program which prints $($a$)$ the domain of R$,$ and $($b$)$ the range of R$.$

$2\mathrm{.}43.$ Write a program which prints the composition relation R@R$=$R$^(2).$

$2\mathrm{.}44.$ Write a program which decides whether or not the relation R is:

$($a$)$ reflexive,

$($b$)$ symmetric,

$($c$)$ transitive,

$($d$)$ anti$-$symmetric.