Paper 1 · Algebra ⏱ Tested in 3 exam questions since 2018 Lesson 7 of 23

Algebra 7 – Rational Inequalities

You’ll learn

  • Multiply a fraction inequality by the squared denominator to keep its direction
  • Reduce to a quadratic inequality and solve it with the parabola sketch
  • Exclude any x-value that makes the original denominator zero

Formula used

Roots of the quadratic equation

x = (-b ± √(b² − 4ac)) / 2a

On page 20 of the log tables — read it off, don’t memorise.

Most recent exam questions

  • 2023 P1 Q2(a) — deferred
  • 2022 P1 Q3(c) — deferred
  • 2018 P1 Q1(b)
Open the worked PDF

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