That works because your inequation has exactly one variable. Currentkly, 
Maxima (and therefore Sage) can't solve an inequation with more than one 
variable (i. e. express the solution for one variable using otrher 
variables as parameters).

HTH,

--
Emmanuel Charpentier

Le mardi 4 avril 2017 05:02:11 UTC+2, kcrisman a écrit :
>
>
>
> On Sunday, April 2, 2017 at 5:41:48 PM UTC-4, Emmanuel Charpentier wrote:
>>
>> Sorry for the late answer.
>>
>> Symbolic inequations solving seems currently broken in Maxima, and, 
>> hence, in Sage (at least if my interpretation of the error messages is 
>> correct...).
>>
>
> For other readers, I should point out that the following command does give 
> a correct, if hard to parse, answer:
>
> solve(abs(5*x-6) >= 3*x+2,x)
>
> [[x == 4],
>  [x == (1/2)],
>  [x == (-2/3)],
>  [(-2/3) < x, x < (1/2)],
>  [4 < x], 
>
>  [x < (-2/3)]] 
>

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