CAIE A-Level Mathematics 3.1.1 Modulus equations

CAIE A-Level Mathematics 3.1.1 Modulus equations
Cambridge International AS & A Level Mathematics 9709 syllabus for exams in 2028, 2029 and 20302028–2030

Practise solving modulus equations and inequalities by sketching V-shaped graphs, finding intersections and translating bounds.

How this is tested

  • sketch y=|ax+b| with the vertex and axis intercepts positioned correctly
  • solve modulus inequalities by finding critical values and stating the interval

Question 3(a)

[Maximum number: 4]

Solve the inequality ∣3x−4∣⩽∣2x+5∣|3 x-4| \leqslant|2 x+5|.