4400 Higher November 2005 Paper 3 Q15
15
(a) Solve the inequality \(x^2 \leqslant 4\) (2)
(b) On the number line, represent the solution set of \(x^2 \leqslant 4\)

(2)
| Scheme | Marks |
|---|---|
| \(-2 \leqslant x \leqslant 2\) | B2 |
| (2) |
Notes
B1: \(x \leqslant 2\) or \(x \geqslant -2\) or \(-2 < x < 2\) or \(x \leqslant \pm 2\) or \(x \leqslant \sqrt{4}\)
| Scheme | Marks |
|---|---|
| solid circles at 2 and −2 | B1 |
| line joining circles | B1 |
| (2) | |
| (4 marks) |
Notes
B1: ft from (a)
SC if \(x \leqslant 2\) in (a) award B1 for solid circle at 2 and B1 for line to left