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  1. Inequalities
  3. Reciprocals reverse negative interval order
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Related chapter practice · 2 chapters
  • Algebra readiness practice
  • Solving inequalities practice
  1. Question bank
  3. Inequalities
  5. Reciprocals reverse the order of negative intervals
Question parts · Full question
  1. Full question
  2. (i) Rational inequalities
  3. (ii) Reciprocal substitution

Reciprocals reverse the order of negative intervals

(i) Without a calculator solve 4/(x+3)≤x4/(x+3)\le x4/(x+3)≤x.3 marks

(ii) Hence solve 4x/(1+3x)≤1/x4x/(1+3x)\le1/x4x/(1+3x)≤1/x.3 marks

[2014/ACJC/Promo/2]

Total marks: 6

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Continue studying

CompareA square substitution preserves an excluded zero →Compare reciprocal substitution with a square substitution and its nonnegative range.Apply the ideaWhen can two functions compose? →Use interval mapping as the same compatibility idea that governs function composition.