Higher June 2024 Paper 1 Q10
10
(a) Represent \(\quad -2 \lt x \lt 4 \quad\) on the number line. [1 mark]
(b) Solve \(\quad 5y + 14 \geqslant 11\) [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| Line joining open circles above, on or below \(-2\) and 4 | B1 | condone arrows on a correct line with open circles |
Additional guidance
| Mark intention | |
| If the student has drawn the circles on the line, they must have drawn their own line connecting the circles | |
| Closed circle(s) | B0 |
| Answer | Mark | Comments |
|---|---|---|
| \(5y \geqslant 11 - 14\) or \(5y \geqslant -3\) or \(14 - 11 \geqslant -5y\) or \(3 \geqslant -5y\) or \(y + \dfrac{14}{5} \geqslant \dfrac{11}{5}\) or \(-\dfrac{3}{5}\) | M1 | oe fractions or decimals may be seen in an equation or inequality |
| \(y \geqslant -\dfrac{3}{5}\) or \(-\dfrac{3}{5} \leqslant y\) | A1 | oe fraction or decimal for \(-\dfrac{3}{5}\) |
Additional guidance
| Allow use of other inequality signs or = if recovered | |
| Accept any letter for \(y\) | |
| Condone \(\dfrac{-3}{5}\) or \(\dfrac{3}{-5}\) for \(-\dfrac{3}{5}\) | |
| Ignore any attempt to convert \(-\dfrac{3}{5}\) to a decimal | |
| \(y \geqslant -\dfrac{3}{5}\) in working and \(-\dfrac{3}{5}\) on answer line | M1A0 |