Paper 1 · Algebra ⏱ Tested in 3 exam questions since 2021 Lesson 6 of 23

Algebra 6 – Inequalities

You’ll learn

  • Solve quadratic inequalities by factorising, then sketching the parabola
  • Read the answer region from the sketch: ≤ 0 inside the roots, ≥ 0 outside
  • Multiply by −1 and flip the sign when the x² coefficient is negative
  • Match strict vs non-strict inequalities to including the boundary roots

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

  • 2026 P1 Q7(c)
  • 2026 P2 Q4(b)
  • 2025 P1 Q7(a)(v)
  • 2024 P1 Q10(b)
  • 2021 P1 Q5(a)(ii)
Open the worked PDF

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