N2007 P1 Q1

N2007 P1 Q1

Junior College 2
5 marks

Show that \(\frac{2x^2-x-19}{x^2+3x+2}-1=\frac{x^2-4x-21}{x^2+3x+2}\).[1]

Hence, without using a calculator, solve the inequality \(\frac{2x^2-x-19}{x^2+3x+2}>1\).[4]

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Answer:\(x<-3\), \(-2<x<-1\), or \(x>7\).

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