Higher November 2022 Paper 2 Q16
16 The shaded region shown on the grid is bounded by four straight lines.
Find the four inequalities that define the shaded region. (4)
| Answer | Mark | Mark scheme |
|---|---|---|
| \(y \geqslant 3x + 6\) \(x \geqslant -3\) \(y \geqslant -\dfrac{x}{2} + 1\) \(y \leqslant 6\) | M1 | for \(y = 6\) indicated or \(x = -3\) indicated |
| M1 | for \(y = 3x + 6\) oe indicated | |
| M1 | for \(y = -\dfrac{x}{2} + 1\) oe indicated | |
| A1 | for \(y \geqslant 3x + 6\) oe, \(x \geqslant -3\), \(y \geqslant -\dfrac{x}{2} + 1\) oe and \(y \leqslant 6\) |
Additional guidance
Accept any inequality in place of “=” for all method marks
Equations/inequalities may be seen on the diagram