OCR MEI C1 — Question 3 4 marks

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicInequalities
TypeSolve quadratic inequality
DifficultyModerate -0.5 This is a straightforward quadratic inequality requiring factorization or the quadratic formula to find roots, then testing regions. It's slightly easier than average because it's a standard C1 technique with no complications, though it requires more steps than basic linear inequalities.
Spec1.02f Solve quadratic equations: including in a function of unknown1.02g Inequalities: linear and quadratic in single variable
3 Solve the inequality \(2 x ^ { 2 } - 7 x \geq 4\).
Question 3:
AnswerMarks Guidance
\(2x^2-7x \geq 4 \Rightarrow 2x^2-7x-4 \geq 0\)M1
\(\Rightarrow (2x+1)(x-4) \geq 0\)A1
\(\Rightarrow 2x \geq -1\) and \(x \geq 4\) i.e. \(x \geq 4\) OR \(2x \leq -1\) and \(x \leq 4\) i.e. \(2x \leq -1\)A1 both
\(\Rightarrow x \geq 4\) or \(2x \leq -1\)A1 
## Question 3:
$2x^2-7x \geq 4 \Rightarrow 2x^2-7x-4 \geq 0$ | M1 |
$\Rightarrow (2x+1)(x-4) \geq 0$ | A1 |
$\Rightarrow 2x \geq -1$ and $x \geq 4$ i.e. $x \geq 4$ OR $2x \leq -1$ and $x \leq 4$ i.e. $2x \leq -1$ | A1 | both
$\Rightarrow x \geq 4$ or $2x \leq -1$ | A1 |

---
3 Solve the inequality $2 x ^ { 2 } - 7 x \geq 4$.

\hfill \mbox{\textit{OCR MEI C1  Q3 [4]}}
This paper (12 questions)
View full paper
Q1 2 Q2 3 Q3 4 Q4 4 Q5 4 Q6 4 Q7 5 Q8 5 Q9 5 Q10 12 Q11 12 Q12 12