| Exam Board | Edexcel |
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| Module | P2 (Pure Mathematics 2) |
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| Year | 2019 |
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| Session | June |
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| Topic | Proof |
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3. (i) Use algebra to prove that for all real values of \(x\)
$$( x - 4 ) ^ { 2 } \geqslant 2 x - 9$$
(ii) Show that the following statement is untrue.
$$2 ^ { n } + 1 \text { is a prime number for all values of } n , n \in \mathbb { N }$$