linear ordered vs well-ordered help

[emlevy]

A linear order is a binary operation that is antisymmetric, transitive, and total. A well-ordered relation is a linear order with the property that every non-empty subset S has a least element. Check if the sets - integers, rationals, and reals - are linearly or well- ordered.

Please help me with this problem because I am completely stumped, thanks

 

[pka]

Here is good way to remember this.
Of all the linearly ordered sets you have mentioned, only the set of positive integers is well ordered.
The set of integers has the negative integers as a subset. But the set of negative integers has no least element. So set of integers in not well ordered.

 

[emlevy]

how do you do it for the rationals and reals?

 

[pka]

how do you do it for the rationals and reals?

Do you understand why the set of integers is not well ordeded?
Is the set of integers of integers a subset or both the rationals and the reals?