Thank you for the suggestion, but I think you've misunderstood what I'm trying to do. Perhaps I wasn't clear enough. vf is a mathematical function and each of the vx[i] are variables in that function. I don't need to ever solve it. All I want to be able to do is change the [] to () on the vectors in order to display the function appropriately in piecewise form.
For reference though, in my particular case [a,b]<[c,d] means that either (a

Thank you for the suggestion, but I think you've misunderstood what I'm trying to do. Perhaps I wasn't clear enough. vf is a mathematical function and each of the vx[i] are variables in that function. I don't need to ever solve it. All I want to be able to do is change the [] to () on the vectors in order to display the function appropriately in piecewise form.
For reference though, in my particular case [a,b]<[c,d] means that either (a

Thanks Alec,
That works well.

Thanks Alec,
That works well.

Thank you for the suggestion. I tried this code and it works well but only for this specific case. I want to have a procedure that works for any list of inequalities in any number of variables. For some reason when I try solve(mylist) Maple complains that solve has invalid arguments. I also don't think solve will work for my multivariate lists. Any suggestions about how to make this code more general?
Here is another angle I was attempting but it does some funny things with the assumptions too.
> restart:
> alist:=[x<5, x<7, x<8, x>2, x>4, x>-3, x<10];
>
> interface(showassumed=0):
> printlevel:=5;
> b:=1;
> while b<=nops(alist) do
> assume(alist[b]):
> i:=1;
> while i <= nops(alist) do
> if i<>b then
> val[i]:=is(alist[i]);
> if is(alist[i]) then
> alist:=ListTools[Flatten]([[alist[1..i-1]],alist[i+1..nops(alist)]]);
> i:=0;
> end if;
> end if;
> i:=i+1;
> end do;
> b:=b+1;
> end do;
>
> eval(alist);
Any ideas?

Thank you for the suggestion. I tried this code and it works well but only for this specific case. I want to have a procedure that works for any list of inequalities in any number of variables. For some reason when I try solve(mylist) Maple complains that solve has invalid arguments. I also don't think solve will work for my multivariate lists. Any suggestions about how to make this code more general?
Here is another angle I was attempting but it does some funny things with the assumptions too.
> restart:
> alist:=[x<5, x<7, x<8, x>2, x>4, x>-3, x<10];
>
> interface(showassumed=0):
> printlevel:=5;
> b:=1;
> while b<=nops(alist) do
> assume(alist[b]):
> i:=1;
> while i <= nops(alist) do
> if i<>b then
> val[i]:=is(alist[i]);
> if is(alist[i]) then
> alist:=ListTools[Flatten]([[alist[1..i-1]],alist[i+1..nops(alist)]]);
> i:=0;
> end if;
> end if;
> i:=i+1;
> end do;
> b:=b+1;
> end do;
>
> eval(alist);
Any ideas?