Danho

Pick a subject

O Level

AgricultureBiologyBusiness Enterprise SkillsChemistryCommerceComputer ScienceEconomicsEnglish LanguageFamily and Religious StudiesGeographyHeritage StudiesHistoryMathematicsPhysicsPrinciples of Accounting

A Level

AccountingBiologyBusiness Enterprise SkillsBusiness StudiesChemistryEconomicsFamily and Religious StudiesGeographyPhysicsPure MathematicsStatistics

Paper 2 · Functions and Graphs

Solve the inequality ∣x2−2∣<−x|x^2-2|<-x.

Model answer

-2<x<-1

Also accepted: -2 to -1, (-2,-1)

Explanation: Splitting into cases where x2−2≥0x^2-2\ge0 and x2−2<0x^2-2<0 gives critical values x=−2x=-2 and x=−1x=-1; testing a point between them (e.g. x=−1.5x=-1.5) confirms the inequality holds there. Solution: −2<x<−1-2<x<-1.

Derived from ZIMSEC Pure Mathematics Paper 2, November 2025, Q1

View this paper's sittings and topics→

More questions from this paper

Get the full paper, not just one question

Danho has every sitting for this paper, with your progress tracked question by question, offline.

Get it on Google PlayDownload on the App Store