Higher June 2019 Unit 1 Q10
10. Using the axes below, find the region which satisfies the following inequalities.
\[\begin{aligned} x &\geqslant -2 \\ y + x &\leqslant 1 \\ 2y &\geqslant x \end{aligned}\]Make sure that you clearly indicate the region that represents your answer. [3]
| Scheme | Marks | Comments |
|---|---|---|
| Lines \(x = -2\), \(y + x = 1\) and \(2y = x\) all correct. | B2 | B1 for any 2 correct lines. If \(x = -2\) and any other vertical or horizontal line shown e.g. \(y\) = ± 2 or \(x\) = 2, do not award a mark unless \(x = -2\) is selected for the region or clearly labelled. |
| Correct region identified. | B1 | FT provided region is closed and B1 awarded. Accept indication by ‘shading out’. |