Modulus Functions - Solving Equations (CIE AS Maths: Pure 2)

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