Algebra

AdvancedMaths revision

Inequalities (Advanced)

Analyse polynomial, rational and absolute inequalities with critical points and sign structure.

Open calculator

Focus points

✓Build sign charts.

✓Solve absolute inequalities.

✓Interpret parameter-dependent solution sets.

orin

Orin

The Wise Owl

Guides study flow, revision planning, and calmer focus sessions.

Practice set

Question lineup

Try each question first, reveal a hint when you need one, then check the worked answer. Mark them done as you go — finish the set to claim your chips.

8 revision questions

Question 1FluencyCore

Original practice · Free Online Revision

Skill · quadratic inequality

Solve x²−7x+10 > 0.

Question 2FluencyCore

Original practice · Free Online Revision

Skill · quadratic inequality

Solve x²+2x−8 ≤ 0.

Question 3FluencyCore

Original practice · Free Online Revision

Skill · cubic inequality

Solve (x−3)(x+1)(x−5) ≥ 0.

Question 4FluencyCore

Original practice · Free Online Revision

Skill · rational inequality

Solve (2x+1)/(x−4) ≤ 0.

Question 5FluencyCore

Original practice · Free Online Revision

Skill · absolute inequality

Solve |3x−2| ≥ 7.

Question 6FluencyCore

Original practice · Free Online Revision

Skill · integer solutions

Find the integer solutions of x²−3x−10<0.

Question 7ReasoningStretch

Original practice · Free Online Revision

Skill · parameter reasoning

For what k is x²−2kx+k²−4 < 0 true for some real x?

Question 8ChallengeStretch

Original practice · Free Online Revision

Skill · distance inequality

Solve |x−1| < |x+3|.