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9 marksThe Real Number System – ℝ

CAPE Pure Mathematics Unit 1 · May/June 2005 · Paper 2 · Question 2(a)

Prove, by Mathematical Induction, that 10ⁿ - 1 is divisible by 9 for all positive integers n.

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  1. 2(b)(i)Find the value of p for which the system has an infinite number of solutions.[3 marks]
  2. 2(b)(ii)Find the solutions for this value of p.[3 marks]
  3. 2(c)Find the set of real values of x for which (x+4)/(x-2) > 5.[5 marks]

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