Higher November 2019 Paper 2 Q24
24 Here are two inequalities.
\(-2 \leqslant x \leqslant 3\)
\(9 \leqslant x + y \leqslant 11\)
\(x\) and \(y\) are integers.
Work out the greatest possible value of \(\quad y - x\) [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 | ||
| \(-2\) used for value of \(x\) | M1 | |
| \(-2\) used for value of \(x\) and 13 used for value of \(y\) | M1dep | |
| 15 | A1 | |
| Alternative method 2 | ||
| \(-2\) used for \(x\) value | M1 | |
| \(11 - 2 \times -2\) | M1dep | oe |
| 15 | A1 | |
Additional guidance
| Answer only of 13 | M0M0A0 |
| Answer only of −2 | M0M0A0 |
| 13 used for value of \(y - x\) does not score 2nd M1 |