Higher November 2018 Paper 5 Q14
14 The diagram shows the lines \(y = 2x + 1\) and \(7x + 4y = 28\).
The region R satisfies these inequalities.
\[y \leqslant 2x + 1 \qquad 7x + 4y \geqslant 28 \qquad y \gt 1\]By drawing a third straight line, find and label the region R that satisfies these inequalities. [5]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
 | 5 | B2 for \(y = 1\) broken line or B1 \(y = 1\) solid line AND B1 for R correct side of \(7x + 4y = 28\) B1 for R correct side of \(y = 2x + 1\) B1 for R correct side of \(y = 1\) | Line long enough to define region If other lines, treat as choice unless labelled See marks on diagram for the final B3 marks (assumes \(y = 1\) is drawn) Condone R not labelled if shading (in or out) is clear |