Foundation June 2023 Paper 1 Q22
22

The region R, shown shaded in the diagram, is bounded by three straight lines.
Find the inequalities that define R
(4)
| Scheme | Marks |
|---|---|
| \(x \leqslant 1\) | B1 |
| \(y \geqslant -2\) | B1 |
| \(y = 2x + c\) or \(y = mx + 4\) | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: \(y \leqslant 2x + 4\) | A1 |
| (4) | |
| (4 marks) |
Notes
B1: accept \(x \lt 1\)
B1: accept \(y \gt -2\)
M1: allow = or \(\lt\) or \(\leqslant\) or \(\gt\) or \(\geqslant\)
A1: oe, allow \(y \lt 2x + 4\) oe
SCB2 for the correct inequalities with all inequality signs the wrong way round