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N2017 P1 Q2
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N2017 P1 Q2
6 marks
Past Year National Exams
Free
On the same axes, sketch the graphs of \(y=\frac{1}{x-a}\) and \(y=b\left| x-a \right|\), where \(a\) and \(b\) are positive constants.
[2]
Hence, or otherwise, solve the inequality \(\frac{1}{x-a} < b\left| x-a \right|\).
[4]
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Answer:
(ii) \({x < a}\) or \({x > a + \sqrt{\frac{1}{b}}}\)
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