CAIE IGCSE Mathematics Extended E2.6.2 Construct Solve and Interpret Linear Inequalities Questions

Practise Extended CAIE IGCSE Mathematics by translating constraints, solving linear inequalities with sign changes and listing the valid integer solutions.

Exam points

Translate contextual phrases such as more than, fewer than or at least into the correct inequality sign and construct the linear inequality.
Expand and collect terms to isolate the variable, reversing the inequality sign after division by a negative value.
List integer solutions that satisfy every endpoint and contextual restriction.

[Maximum number: 3]

Solve.

$11x-3\geqslant2(2x+9)$

$x\geqslant3$
final answer
B1 for $7x\geqslant21$ or better
B1 for correct inequality handling

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CAIE IGCSE Mathematics Extended E2.6.2 Construct Solve and Interpret Linear Inequalities Questions question 1