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