4MA0 Foundation January 2012 Paper 2 Q23
23
(i) Solve the inequalities \(-6 \lt 4x \leqslant 8\)
(ii) \(n\) is an integer.
Write down all the values of \(n\) which satisfy \(-6 \lt 4n \leqslant 8\)
Write down all the values of \(n\) which satisfy \(-6 \lt 4n \leqslant 8\)
(4)
| Scheme | Marks |
|---|---|
(i) Answer: \(-1\dfrac{1}{2} \lt x \leqslant 2\) | B2 |
| (ii) Answer: −1 0 1 2 | B2 |
| (4) | |
| (Total 4 marks) |
Notes
B2: Also accept \(-\dfrac{3}{2} \lt x \leqslant 2\) or answer expressed as two separate inequalities
B1 for \(-1\dfrac{1}{2} \lt x\) or \(-\dfrac{3}{2} \lt x\) or \(x \leqslant 2\) (these may be as part of a double-ended inequality)
or \(-\dfrac{6}{4} \lt x \leqslant \dfrac{8}{4}\)
B2: B1 for 4 correct and 1 wrong
or for 3 correct and 0 wrong