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Article #66Solving inequalities analytically?
From: Peter Brewer
Date: Tue, 29 Sep 1998 00:00
Date: Tue, 29 Sep 1998 00:00
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1191 bytes
Consider this inequality:
x^2 +2x -3 > 0
Which factorises to:
(x+3)(x-1) > 0
The natural thing to say is therefore
x > -3 and x > 1
However, if this inequality is solved graphically then the solution is
x < -3 and x > 1
which I believe is the correct answer. Can anyone tell me why the first
technique is invalid?
Thanks in advance,
Pete
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X-Google-Language: ENGLISH,ASCII-7-bit X-Google-Thread: f458d,87f420f7aa3a82ba,start X-Google-Attributes: gidf458d,public X-Google-Thread: 106622,87f420f7aa3a82ba,start X-Google-Attributes: gid106622,public X-Google-Thread: fd6c7,87f420f7aa3a82ba,start X-Google-Attributes: gidfd6c7,public From: "Peter Brewer" <Peter@darkpit.demon.co.uk> Subject: Solving inequalities analytically? Date: 1998/09/29 Message-ID: <907068356.6946.0.nnrp-02.c2de70b8@news.demon.co.uk> X-Deja-AN: 395943103 X-NNTP-Posting-Host: darkpit.demon.co.uk:194.222.112.184 X-Trace: news.demon.co.uk 907068356 nnrp-02:6946 NO-IDENT darkpit.demon.co.uk:194.222.112.184 X-MimeOLE: Produced By Microsoft MimeOLE V4.72.2106.4 Newsgroups: can.rsc.mathsci,uk.education.maths,uw.math.mathsoc X-Complaints-To: abuse@demon.net