[1WH]Prerequisites:[23X].(Proposed on 2022-12) For each set \(A\) and each relation \(R\) between elements of \(A\), explain if it is reflective, symmetric, antisymmetric and/or transitive; if it is a order relation, determine if it is total.
In \(A=ℕ⧵\{ 0\} \) , \(nRm\) iff the greatest common divisor between \(n\) and \(m\) is 1
In \(A=ℕ⧵\{ 0\} \) , \(nRm\) if and only if \(n\) divides \(m\)
In \(A=ℕ⧵\{ 0\} \) , \(nRm\) if and only if \(2n\) divides \(m\)
In \(A={\mathcal P}(ℕ)\), \(aRb\) if and only if \(a⊆ b\).
