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8 marksThe Real Number System – ℝ

CAPE Pure Mathematics Unit 1 · May/June 2024 · Paper 2 · Question 2(c)

Let P be the proposition that if n^3 + 3 is odd then n is even for all integers n.

Provide a proof by contradiction for this proposition, by assuming n is odd and showing the assumption is incorrect.

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Other parts of this question

  1. 2(a)Determine the cubic equation with roots (alpha - 1), (beta - 1) and (gamma - 1), given that (alpha - 1)(beta - 1) + (alpha - 1)(gamma - 1) + (beta - 1)(gamma -…[8 marks]
  2. 2(b)Calculate the values of p and q.[9 marks]

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