#18902: spurious results as inequality solution
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       Reporter:  rws        |        Owner:
           Type:  defect     |       Status:  new
       Priority:  major      |    Milestone:  sage-6.8
      Component:  symbolics  |   Resolution:
       Keywords:             |    Merged in:
        Authors:             |    Reviewers:
Report Upstream:  N/A        |  Work issues:
         Branch:             |       Commit:
   Dependencies:             |     Stopgaps:
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Description changed by rws:

Old description:

> From, http://ask.sagemath.org/question/26941/solving-system-of-
> inequalities-in-one-variable/:
> {{{
> x = var('x')
> a = var('a')
> solve([a*x>0,a>0],[x])
> [[0 < x, a > 0], [x < 0, -a > 0, a > 0]]
> }}}
> The second solution contradicts one given.

New description:

 From, http://ask.sagemath.org/question/26941/solving-system-of-
 inequalities-in-one-variable/:
 {{{
 x = var('x')
 a = var('a')
 solve([a*x>0,a>0],[x])
 [[0 < x, a > 0], [x < 0, -a > 0, a > 0]]
 }}}
 The second solution contradicts one given precondition.

 Also, from http://ask.sagemath.org/question/26410/test-if-an-inequality-
 is-feasible-under-assumptions/
 {{{
 sage: (l1,l2) = var("l1 l2")
 sage: assume (l1>=0)
 sage: assume (l2>=0)
 sage: solve (l1*l2<0, [l1,l2])
 [[0 < l2, l1 < 0], [l2 < 0, 0 < l1]]
 }}}

--

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Ticket URL: <http://trac.sagemath.org/ticket/18902#comment:1>
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