OCR C3 — Question 1 5 marks

Exam BoardOCR
ModuleC3 (Core Mathematics 3)
Marks5
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicModulus function
TypeSolve |linear| > |linear|
DifficultyStandard +0.3 This is a standard modulus inequality requiring squaring both sides or considering critical points (x = 3/2 and x = -2) and testing intervals. It's slightly above average difficulty as it involves systematic case analysis or algebraic manipulation, but follows a well-established technique taught in C3 with no novel insight required.
Spec1.02g Inequalities: linear and quadratic in single variable1.02l Modulus function: notation, relations, equations and inequalities

  1. Find the set of values of \(x\) such that
$$| 2 x - 3 | > | x + 2 |$$

\begin{enumerate}
  \item Find the set of values of $x$ such that
\end{enumerate}

$$| 2 x - 3 | > | x + 2 |$$

\hfill \mbox{\textit{OCR C3  Q1 [5]}}