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[Post New]7 Apr 2007 11:15:54 IST
    Subject: least and greatest integral values
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12345 (2)

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If f(x)=x2+3x-40/x2+5x-14,   x  -7, x  2 then find the least and greatest integral values of x for which f(x)<0
 
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[Post New]7 Apr 2007 14:18:10 IST
    Subject: Re:least and greatest integral values
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iitkgp_bipin (5892)

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y = (x2+3x-40)/(x2+5x-14)

y = {(x-5)(x+8)}/{(x+7)(x-2)}

y < 0    when x (-8,-7) (2,5)

Hence the least integral value of x for which y < 0 is 3.
Hence the greatest integral value of x for which y < 0 is 4.
Bipin Kumar Dubey
Chemical Dept.
IIT Kharagpur

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