4MA0 Foundation January 2016 Paper 1R Q18
18
(a) Solve the inequality \(e - 2 \lt 0\) (1)
(b) Solve the inequality \(5 - 3e \lt 4\) (2)
(c) Write down the integer value of \(e\) that satisfies both of the inequalities
\(e - 2 \lt 0\) and \(5 - 3e \lt 4\) (1)
\(e - 2 \lt 0\) and \(5 - 3e \lt 4\) (1)
| Scheme | Marks |
|---|---|
| \(e \lt 2\) | B1 |
| (1) |
Notes
B1: Must be the final answer.
| Scheme | Marks |
|---|---|
| \(5 - 4 \lt 3e\) or \(-3e \lt 4 - 5\) | M1 |
| \(e \gt \tfrac{1}{3}\) | A1 |
| (2) |
Notes
M1: Condone use of \(\leqslant\) or =
A1: Must be the final answer.
Accept \(e \gt 0.333(333\ldots)\)
| Scheme | Marks |
|---|---|
| 1 | B1 |
| (1) | |
| Total 4 marks |