ESAT Maths 1 Practice Question Bank

P05B Inequalities: Challenge

Time Allowed

60 min

No. of Qs

15

Language

English

Learning Objectives

  • Understand and apply the basic properties of inequalities.
  • Solve linear inequalities in one and two variables, representing solutions appropriately.
  • Solve polynomial inequalities (especially quadratic) using critical values, sign analysis, or graphical methods.
  • Solve rational inequalities by converting to polynomial inequalities or using sign analysis, ensuring denominators are handled correctly.
  • Solve irrational inequalities involving square roots, including checking for extraneous solutions and domain restrictions.
  • Solve absolute value inequalities by considering cases, using definitions, or by squaring.
  • Interpret solutions of inequalities graphically.
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Practice questions of P05B Inequalities: Challenge

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