Which of the following sets are well ordered under the specified operation? Justify why they are/ are not well-ordered (a) \(R+ U_{0}<\) (b) \([0,1], >\) (c)The set of integers divisible by 5, < (d)\({ {0,1,..., n} | n∈N}, ⊆\)

Discrete math Question. Suppose your friend makes the following English statement "If \(X \oplus Y\), but \(\displaystyle\sim{X}\), then we have Y." Convert it into a statement form. Then show that your friend's statement is valid. Is it true that "\(\displaystyle{X}\oplus{Y}\), but \(\displaystyle\sim{X}\)" is equivalent to Y?