GCSE Maths Inequalities: lesson and practice questions

By the end of this chapter you will be able to

• Read and write the inequality symbols <, >, ≤ and ≥, and turn words such as “at least” into symbols
• Show an inequality on a number line using open and closed circles
• Solve linear inequalities, including when you must multiply or divide by a negative number
• Solve double inequalities, and list the integers that satisfy an inequality
• Form and solve inequalities from real-life situations
• Higher tier: use set notation, solve quadratic inequalities and show regions on a graph

You should already know

• Ordering positive and negative numbers (Chapter 1)
• Solving linear equations (Chapter 9)
• Substituting into expressions (Chapter 8)
• Expanding brackets (Chapter 7)

Where this leads

• Regions and graphs of straight lines (Chapter 12)
• Quadratic graphs (Chapter 13)
• Solving quadratic equations (Chapter 14)
• Error intervals (Chapter 4)