Representing Inequalities on a Number Line (OCR GCSE Maths): Revision Note

Representing Inequalities on a Number Line

How do I represent an inequality on a number line?

• The inequality -3 < x ≤ 4 is shown on a number line below

• Draw circles above the end points and connect them with a horizontal line

  • Leave an open circle for end points with strict inequalities, < or >

    • These end points are not included

  • Fill in a solid circle for end points with ≤ or ≥ inequalities

    • These end points are included

      

• Use a horizontal arrow for inequalities with one end point

  • x > 5 is an open circle at 5 with a horizontal arrow pointing to the right