Foundation June 2019 Paper 2 Q24
24 \(x\) is an integer.
\[-4 \lt x \leqslant 2\]and
\[2 \leqslant x + 3 \lt 9\]Work out all the possible values of \(x\). [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(-1 \quad 0 \quad 1 \quad 2\) | B3 | B2 three correct values with no incorrect values or \(-3 \ \ -2 \ \ -1 \ \ 0 \ \ 1 \ \ 2\) and \(-1 \ \ 0 \ \ 1 \ \ 2 \ \ 3 \ \ 4 \ \ 5\) or interval that contains only the integers \(-1 \ \ 0 \ \ 1 \ \ 2\) B1 \(-3 \ \ -2 \ \ -1 \ \ 0 \ \ 1 \ \ 2\) or \(-1 \ \ 0 \ \ 1 \ \ 2 \ \ 3 \ \ 4 \ \ 5\) SC2 answer 2 3 4 5 |
Additional guidance
| Examples of intervals that contain only the integers \(-1 \ \ 0 \ \ 1 \ \ 2\) \(-1 \leqslant x \leqslant 2\) or \([-1, 2]\) or \(-2 \lt x \lt 3\) or \((-2, 3)\) | |
| \(-1 \ \ 0 \ \ 1 \ \ 2 \ \ 3 \ \ 4 \ \ 5\) may be shown as an interval that contains only these integers eg \(-1 \leqslant x \lt 6\) or \([-1, 6)\) | |
| Intervals can be shown on a number line | |
| \(-3 \ \ -2 \ \ -1 \ \ 0 \ \ 1 \ \ 2\) can not be shown as an interval or on a number line | |
| Lists may be in any order eg \(1 \ \ 2 \ \ 3 \ \ 4 \ \ 5 \ \ -1 \ \ 0\) | B1 |
| Condone repeats in lists eg \(-1 \ \ 0 \ \ 1 \ \ 1 \ \ 2\) | B3 |
| Ignore commas/and/or between numbers in lists | |
| \(-3 \ \ -2 \ \ -1 \ \ 0 \ \ 1 \ \ 2 \ \ 3 \ \ 4 \ \ 5\) \(\quad\) with no other valid working | B0 |