OCR C3 — Question 2 5 marks

Exam BoardOCR
ModuleC3 (Core Mathematics 3)
Marks5
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicInequalities
TypeSolve absolute value inequality
DifficultyStandard +0.8 This modulus inequality requires systematic case analysis by considering critical points where expressions equal zero, then solving and checking validity across multiple intervals. While the algebraic manipulation is straightforward, the multi-case approach and need to combine solution sets makes this more demanding than typical C3 questions.
Spec1.02l Modulus function: notation, relations, equations and inequalities1.02t Solve modulus equations: graphically with modulus function

Solve the inequality \(|4x - 3| < |2x + 1|\). [5]

Solve the inequality $|4x - 3| < |2x + 1|$. [5]

\hfill \mbox{\textit{OCR C3  Q2 [5]}}