| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Inequalities |
| Type | Solve quadratic inequality |
| Difficulty | Easy -1.2 This is a straightforward two-part inequality question requiring basic algebraic manipulation (part i) and standard quadratic inequality solving by finding critical points (part ii). Both are routine textbook exercises with no problem-solving insight needed, making it easier than average. |
| Spec | 1.02g Inequalities: linear and quadratic in single variable |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Marks | Guidance |
| \(2-2x > 6x+5\) | M1 | Or \(1-x > 3x+2.5\) |
| \(-3 > 8x\) o.e. or ft | M1 | For collecting terms of their inequality correctly on opposite sides e.g. \(-8x > 3\) |
| \(x < -3/8\) o.e. or ft isw | M1 | Allow B3 for correct inequality found after working with equation; allow SC2 for \(-3/8\) o.e. found with equation or wrong inequality |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Marks | Guidance |
| \(-4 < x < \frac{1}{2}\) o.e. | 2 | Accept as two inequalities; M1 for one 'end' correct or for \(-4\) and \(\frac{1}{2}\) |
## Question 7(i):
| Answer | Marks | Guidance |
|--------|-------|----------|
| $2-2x > 6x+5$ | M1 | Or $1-x > 3x+2.5$ |
| $-3 > 8x$ o.e. or ft | M1 | For collecting terms of their inequality correctly on opposite sides e.g. $-8x > 3$ |
| $x < -3/8$ o.e. or ft isw | M1 | Allow B3 for correct inequality found after working with equation; allow SC2 for $-3/8$ o.e. found with equation or wrong inequality |
## Question 7(ii):
| Answer | Marks | Guidance |
|--------|-------|----------|
| $-4 < x < \frac{1}{2}$ o.e. | 2 | Accept as two inequalities; M1 for one 'end' correct or for $-4$ and $\frac{1}{2}$ |
---7 Solve the following inequalities.\\
(i) $2 ( 1 - x ) > 6 x + 5$\\
(ii) $( 2 x - 1 ) ( x + 4 ) < 0$
\hfill \mbox{\textit{OCR MEI C1 Q7 [5]}}