Paper I · 9 Logical Reasoning & Analytical Ability · 9.2 Algebra: equations, identities and progressions

9.2.6 Inequalities and modulus: solving and comparing expressions

Solve an inequality like an equation, with one extra rule: multiplying or dividing by a negative number flips the sign; a modulus |x − a| is simply the distance from x to a.

  • APPSC Paper I · Paper I
  • Standard level
  • 6 min read
  • Full course

Key terms

  • linear inequality
  • quadratic inequality
  • modulus
  • absolute value
  • integer solutions
  • wavy curve
  • comparing surds
  • AM-GM
  • range of a product
  • minimum of sum of moduli

What this note covers

  1. Core factsFoundation
  2. ExplainedStandard
  3. DeeperAdvanced
  4. Common trapsFoundation
  5. Quick revisionFoundation

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