Solving Equations with Modulus Functions (Cambridge (CIE) AS Maths) : Revision Note

Modulus Functions - Solving Equations

Modulus graphs and equations

• Two non-parallel straight-line graphs would intersect once

• If modulus involved there could be more than one intersection

• Deducing where these intersections are is crucial to solving equations

How do I solve modulus equations?

• STEP 1        Sketch the graphs including any modulus (reflected) parts

  • (see Modulus Functions – Sketching Graphs)

• STEP 2        Locate the graph intersections

• STEP 3       Solve the appropriate equation(s) or inequality

  • For the two possible equations are and