N2016 P1 Q1
N2016 P1 Q1
Junior College 2
5 marks
Express \(\dfrac{4x^2+4x-14}{x-4}-(x+3)\) as a single simplified fraction.[2]
Hence, without using a calculator, solve the inequality \[\dfrac{4x^2+4x-14}{x-4}<x+3.\][3]
Solution:
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Answer:\(\dfrac{(3x-1)(x+2)}{x-4}\); \(x<-2\) or \(1/3<x<4\).
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