| Exam Board | SPS |
|---|---|
| Module | SPS SM (SPS SM) |
| Year | 2024 |
| Session | October |
| Marks | 7 |
| Topic | Inequalities |
| Type | Solve quadratic inequality |
| Difficulty | Easy -1.2 Part (i) is a one-step linear inequality requiring basic rearrangement. Part (ii) involves expanding a quadratic, rearranging to standard form, factoring, and applying sign analysis—standard GCSE/AS-level technique with no conceptual challenges. The 7 total marks reflect routine algebraic manipulation rather than problem-solving depth. |
| Spec | 1.02g Inequalities: linear and quadratic in single variable1.02h Express solutions: using 'and', 'or', set and interval notation |
Solve the inequalities
\begin{enumerate}[label=(\roman*)]
\item $3 - 8x > 4$, [2]
\item $(2x - 4)(x - 3) < 12$. [5]
\end{enumerate}
\hfill \mbox{\textit{SPS SPS SM 2024 Q2 [7]}}