CAIE A-Level Mathematics 2.1.1 Modulus equations

CAIE A-Level Mathematics 2.1.1 Modulus equations
Cambridge International AS & A Level Mathematics 9709 syllabus for exams in 2028, 2029 and 20302028–2030

Practise solving modulus equations and inequalities, sketching |ax+b| graphs, and selecting valid intervals from critical values.

How this is tested

  • sketch y=|ax+b| with the correct vertex, symmetry and straight-line branches
  • solve |linear| equations by comparing same-sign and opposite-sign linear cases
  • reject extraneous critical values when a modulus inequality gives only one interval

Question 1

Question 1(a)

(a)

（a）Sketch the graph of y=|3 x-6| ．
（a）Sketch the graph of y=|3 x-6| ．

Table for Question 1(a) — CAIE A-Level Mathematics

Question 1(b)

(b)

Solve the inequality 5x-3<|3x-6|.