Higher November 2023 Paper 5 Q19
19 The graph of \(y = x\) is drawn on the grid.
The region R satisfies the following inequalities.
\(y \geqslant x \qquad y \leqslant 2 \qquad y < -2x - 3\)
By drawing two more straight lines on the grid, find and label the region R. [6]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(y = 2\) ruled and \(y = -2x - 3\) broken line and correct region indicated | 6 | B1 for \(y = 2\) ruled B2 for \(y = -2x - 3\) broken line or B1 for \(y = -2x - 3\) solid line | Penalise one mark only for good freehand lines Additional lines treat as choice Length of line should be fit for purpose to identify their region |
| AND B1 for R on correct side of \(y = x\) B1 for R on correct side of \(y = 2\) B1 for R on correct side of their \(y = -2x - 3\) | See marks on diagram for the final B3 marks provided all lines drawn correctly For region, FT their \(y = -2x - 3\) provided line with negative gradient only but no FT for \(y = 2\) if incorrect Condone shading in or out of region provided R is clearly identified | ||
Diagram from the mark scheme
