Skip to content
IGCSEMath.com.my
Core + Extended Inequalities

Double Inequalities for IGCSE Maths

Solving inequalities with two bounds and listing integer solutions. This subtopic is part of Inequalities in the Cambridge IGCSE Mathematics 0580 syllabus (both Core and Extended tiers). Understanding

What You Need to Know

Solving inequalities with two bounds and listing integer solutions. This subtopic is part of Inequalities in the Cambridge IGCSE Mathematics 0580 syllabus (both Core and Extended tiers). Understanding double inequalities is essential for achieving a strong grade in your IGCSE Maths exam.

Understanding Double Inequalities

Solving inequalities with two bounds and listing integer solutions. In the IGCSE 0580 exam, double inequalities questions appear in both Paper 2 (Core/Extended) and Paper 4 (Extended). These questions typically test your ability to apply the method to both straightforward calculations and multi-step problems. Teacher Rig recommends mastering the fundamentals before attempting more complex variations.

Step-by-Step Method

  1. 1

    Identify the problem type

    Read the question carefully and identify that it requires double inequalities. Look for key words and given information.

  2. 2

    Write down the relevant formula or rule

    State the formula or method you will use for double inequalities. This earns you a method mark.

  3. 3

    Substitute known values

    Replace the variables in the formula with the values given in the question. Show this step clearly.

  4. 4

    Solve and simplify

    Carry out the calculation step by step. Show all working to earn method marks even if your final answer is wrong.

  5. 5

    Check your answer

    Verify your answer makes sense in context. Check units and significant figures as required.

Worked Example

Question

A typical exam question on double inequalities involving the key concepts from the IGCSE 0580 syllabus. Refer to the worked examples page for fully detailed solutions.

Solution

Step 1: Identify this as a double inequalities problem. Step 2: Apply the relevant formula or method. Step 3: Substitute values and calculate. Step 4: Give your answer to the required degree of accuracy. For full step-by-step solutions with detailed working, see the Inequalities Worked Examples page.

Exam Tips for Double Inequalities

  • Always show your working for double inequalities questions - method marks are available even if the final answer is wrong.
  • Read the question carefully to check what form the answer should be in (exact, decimal places, significant figures).
  • Check your calculator is in the correct mode before starting the calculation.
  • If you get stuck, write down any relevant formula - this often earns a mark.

Practice Questions

Q1: A foundation-level question testing basic double inequalities skills.

Show hint

Start by identifying the key information given and the formula needed for double inequalities.

Q2: An extended-level question combining double inequalities with problem solving.

Show hint

Break the problem into smaller steps. Which double inequalities method applies to each part?

Q3: A multi-mark exam question on double inequalities similar to Paper 4.

Show hint

Show every step of your working. Marks are awarded for method as well as the final answer.

Frequently Asked Questions

What is double inequalities in IGCSE Maths?

Solving inequalities with two bounds and listing integer solutions.

Is double inequalities in the Core or Extended syllabus?

Double Inequalities is part of the Core and Extended syllabus for IGCSE Mathematics 0580.

How do I revise double inequalities effectively?

Start with the revision notes to understand key concepts, then work through the worked examples step by step. Finally, practise past paper questions under timed conditions. Teacher Rig recommends spending focused revision sessions on double inequalities rather than trying to cover everything at once.

Need Help with Double Inequalities?

Book a free trial class and get personalised support from Teacher Rig.

Book Free Trial WhatsApp Us

More on Inequalities

Related Subtopics

Explore More

Master Double Inequalities with Expert Help

Book a free 60-minute trial class with Teacher Rig. Get personalised guidance on Inequalities and every other IGCSE Maths topic.

Book Free Trial WhatsApp Us