Higher January 2020 Paper 1 Q10
10 The shaded region in the diagram is bounded by three lines.
The equation of one of the lines is given.
Write down the three inequalities that define the shaded region.
(3)
| Scheme | Marks |
|---|---|
\(x \geqslant -1\) oe \(x + y \leqslant 4\) oe \(y \geqslant \dfrac{1}{3}x - 2\) oe | B3 |
| (3) | |
| (3 marks) |
Notes
B3: for all 3 correct inequalities
(B2 for two correct inequalities
B1 for one correct inequality)
(SC B3 for \(x \leqslant -1\), \(x + y \geqslant 4\) and \(y \leqslant \dfrac{1}{3}x - 2\) oe)
(If no marks gained B1 for understanding of equation \(x + y = 4\) e.g. \(y \gt 4 - x\))
Accept \(\lt \) for \(\leqslant\) and \(\gt \) for \(\geqslant\) throughout