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Re: no results with 'InequalitySolve'

  • To: mathgroup at smc.vnet.net
  • Subject: [mg42367] Re: no results with 'InequalitySolve'
  • From: "Dana DeLouis" <delouis at bellsouth.net>
  • Date: Wed, 2 Jul 2003 06:36:29 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

Hello.  In Mathematica 5, I seem to get a good approximation, along with
the standard warning message:

Needs["Algebra`InequalitySolve`"]

InequalitySolve[Sin[x] > 0.5, x]

InequalitySolve::npi:A nonpolynomial equation or inequality encountered.
The \
solution set may be incorrect.

x > 0.5235987755982989

The Sin of this value does appear to be equal to 0.5

Sin[0.5235987755982989]
0.5

Slightly better is to make the 0.5 more exact  (1/2)

InequalitySolve[Sin[x] > 1/2, x]
x > Pi/6

However, I seem to get a "better" approximation with Reduce:
Reduce[Sin[x] >= 1/2 && 0 <= x <= 2*Pi, x]

Pi/6 <= x <= (5*Pi)/6

A check on its value...
Sin[Pi/6]
1/2 

HTH.
-- 
Dana DeLouis
Windows XP
Mathematica $VersionNumber -> 5
delouis at bellsouth.net
= = = = = = = = = = = = = = = = = 


"Oliver Kowalke" <oliver.kowalke at t-online.de> wrote in message
news:bds0i9$62b$1 at smc.vnet.net...
> Hi,
> 
> I've Mathematica 4.1 on Linux. If I try to solve this:
> 
> InequalitySolve[Sin[x] > 0.5, x]
> 
> Mathematica recalls it without solving it. Why? What do I've to do?
> 
> thx,
> Oliver
>


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