Prove inequality algebraically

A question is this type if and only if it asks to prove an inequality relationship between algebraic expressions (excluding counterexample questions).

1 questions · Standard +0.3

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Edexcel P2 2024 June Q5
6 marks Standard +0.3
  1. In this question you must show detailed reasoning.
    1. Given that \(x\) and \(y\) are positive numbers such that
    $$( x - y ) ^ { 3 } > x ^ { 3 } - y ^ { 3 }$$ prove that $$y > x$$
  2. Using a counter example, show that the result in part (a) is not true for all real numbers.