Higher November 2022 Unit 1 Q14
14. Using the axes below, find the region which satisfies the following inequalities.
\(y \leqslant \dfrac{1}{2}x + 1\)
\(y + x \geqslant 0\)
\(x \leqslant 3\)
You must clearly indicate the region that represents your answer. [3]
| Scheme | Marks | Comments |
|---|---|---|
| Lines \(y = \tfrac{1}{2}x + 1\), \(y + x = 0\) and \(x = 3\) all correct. | B2 | B1 for any 2 correct lines. If \(y = 3\) and any other vertical or horizontal line shown e.g. \(y = \pm 3\) or \(x\) = -3, do not award a mark unless \(x = 3\) is selected for the region or clearly labelled. |
| Correct region identified. | B1 | Strict FT provided B1 awarded. Accept indication by ‘shading out’. |