2 marksThe Real Number System – ℝ

CAPE Pure Mathematics Unit 1 · May/June 2006 · Paper 1 · Question 3(a)(i)

Find a, b in R such that (3x)/(x + 1) - 2 = (ax + b)/(x + 1), where x != -1.

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3(a)(ii)Hence, find the range of values of x in R for which (3x)/(x + 1) > 2.[4 marks]
3(b)Without the use of calculators or tables, show that 4^2 / (sqrt(2) * 8^(-1/3)) = 2^4 (sqrt(2)).[4 marks]

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