Higher June 2019 Paper 4 Q18
18 Region R satisfies these inequalities.
\[\begin{aligned} &y \gt 3 \\ &y \geqslant x \\ &x + y \leqslant 9 \end{aligned}\]By drawing three straight lines on the grid, find and label the region R. [6]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Three correct lines and region R correctly labelled with an ‘R’ or unambiguous wording or shading | 6 | B1 for line \(y = 3\) and B1dep indicates correct side B1 for line \(y = x\) and B1dep indicates correct side B1 for line \(x + y = 9\) and B1dep indicates correct side to a maximum of 5 marks Condone good freehand lines, which can be dashed or solid. Mark the region which is labelled, but if no labelling mark the single region which is shaded (or unshaded). Condone regions that are just in the first quadrant. Region mark depends on the line being a close attempt. Note : lines need only be one square long for line mark but they must be fit for purpose to define their region up to the intersections and the \(y\)-axis. | |
Appendix: Question 18
Marks for regions if all lines are correctly drawn.
The line \(x + y = 9\) must go very close to one of the points (0,9) or (9,0) to score its region mark after awarding B0 for that line.
