Only option B should be True not First Why ???
A well ordered set is a total ordered set in which every finite subset has a least element.
Now (Q ∩ [0, 1], ≤) will eventually give ([0,1],<=) wouldn't it ?
Now [0,1] basically contains a subset (0,1) which doesn't have least element , because here if you choose any number then i can always give you a smaller number than that.
@Shaik Masthan brother please Verify it ?
Finite sets which are Totally ordered sets are well ordered
still you didn't reply to my comment, then what is the use of pinging me ?
That is closed interval I agree
but by definition : Finite sets which are Totally ordered sets are well ordered
now Q denotes the set of rational numbers
now Q $\cap [0,1]$ <=
there's infinite numbers between 0 to 1 isn't ??
therefore it's not a finite set
i:e 3.22 <= 3.23
3.23<= 3.24......goes on !!
Sorry for late reply brother i was out.
In total ordered set we look for the whole set as well as all the subsets so cant i say (0,1) is a subset of [0,1] for which there is no least element ?
Its important to see for whole set and every finite subset of it :