About subsequences in totally ordered sets

[Ikey]

Is every subsequence of a monotone sequence in a totally ordered set also monotone? Why or why not?

 

[pka]

Is every subsequence of a monotone sequence in a totally ordered set also monotone? Why or why not?

Definitions do differ. So you must follow your assigned textbook.
In general, subsequences must follow the same order as the suppersequence.
If you would the definition of subsequence you have the we can give better help.