TMUA-P2-PRF4-006 — Paper P2 · Disproof by counterexample · Level 2

Options

1. A
   $x = 3$: $9 > 3$, confirming the claim.
2. B
   $x = -2$: $4 > -2$, confirming the claim.
3. C
   $x = \frac12$: $\left(\frac12\right)^2 = \frac14$, which is not greater than $\frac12$.
4. D
   The claim holds for all large $x$, so it is true.
5. E
   $x = 0$: $0 > 0$.

Letters only — the answer key is hidden. Work it out, then check the solution below.

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