Edexcel C1 — Question 2 4 marks

Exam BoardEdexcel
ModuleC1 (Core Mathematics 1)
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicInequalities
TypeSolve quadratic inequality
DifficultyModerate -0.8 This is a straightforward quadratic inequality requiring expansion to x² - 3x - 18 < 0, factorization to (x+3)(x-6) < 0, and reading off the solution -3 < x < 6. It's a standard C1 exercise with routine steps and no conceptual challenges, making it easier than average but not trivial since it requires multiple mechanical steps.
Spec1.02f Solve quadratic equations: including in a function of unknown1.02g Inequalities: linear and quadratic in single variable

2. Find the set of values of \(x\) for which $$( x - 1 ) ( x - 2 ) < 20$$

Question 2:
AnswerMarks Guidance
Answer/WorkingMarks Notes
\(x^2 - 3x + 2 < 20\) → \(x^2 - 3x - 18 < 0\)M1
\((x+3)(x-6) < 0\)M1
Number line / sketch shownM1
\(-3 < x < 6\)A1 (4)
## Question 2:

| Answer/Working | Marks | Notes |
|---|---|---|
| $x^2 - 3x + 2 < 20$ → $x^2 - 3x - 18 < 0$ | M1 | |
| $(x+3)(x-6) < 0$ | M1 | |
| Number line / sketch shown | M1 | |
| $-3 < x < 6$ | A1 | **(4)** |

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2. Find the set of values of $x$ for which

$$( x - 1 ) ( x - 2 ) < 20$$

\hfill \mbox{\textit{Edexcel C1  Q2 [4]}}