On Monday, July 1, 2013 11:37:02 AM UTC+2, I wrote:
>
> solve(abs((x-1)/(x-5)) <= 1/3, x) 
>
[...]
> The main issue is that the result should be 
>
> [[-1 <= x, x <= 2]] 
>
 
I have found a way to get this! A little term massaging gives me the 
equivalent:
sage: qepcad((x-1)^2 <= (1/3)^2 * (x-5)^2, vars='(x)')
x + 1 >= 0 /\ x - 2 <= 0

Also, qepcad can be used for cleaning up some results of 'solve':
sage: qepcad(qepcad_formula.or_(x == 1, qepcad_formula.and_(1 < x, x < 2)), 
vars='(x)')
x - 1 >= 0 /\ x - 2 < 0
but it cannot deal with the '-6 != 0' terms.

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