A-LevelMathematicsAlgebra9709/33 · May/June 2020 · Q14 Marks

Solve the inequality |2x - 1 | > 3|x + 2|.

Mark scheme

Marking points from the official mark scheme (May/June 2020). The mark or mark type is shown in brackets.

[B1] State or imply non-modular inequality (2x – 1)² > 3²(x + 2)², or corresponding quadratic equation, or pair of linear equations
[M1] Make reasonable attempt at solving a 3-term quadratic, or solve two linear equations for x
[A1] Obtain critical values x = -7 and x = -1
[A1] State final answer -7 < x < -1
[B1] Obtain critical value x = −1 from a graphical method, or by solving a linear equation or linear inequality
[B2] Obtain critical value x = −7 similarly
[B1] State final answer -7 < x < -1

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Topic: Algebra, A-Level Mathematics (syllabus 9709). Structured question, 4 marks.
Source: A-Level Mathematics, May/June 2020 Paper 3 Variant 3, question 1.

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