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O-LevelAdditional MathematicsEquations, inequalities and graphs4037/22 · Oct/Nov 2020 · Q14 Marks

Solve the inequality (x-8)(x−10) > 35.

Solve the inequality (x-8)(x−10) > 35.[4]

Mark scheme

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

[B1] x² - 18x + 45 (= 0) Expand and simplify to three terms.
[M1] (x - 15)(x - 3)(= 0) Factorise or use formula on their 3 term quadratic or complete the square
[A1] x = 15 and x = 3
[A1] x < 3 or x > 15 oe Do not accept 'and'. Do not accept 3 > x > 15. Mark final answer.

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About this question

Topic: Equations, inequalities and graphs, O-Level Additional Mathematics (syllabus 4037). Structured question, 4 marks.
Source: O-Level Additional Mathematics, Oct/Nov 2020 Paper 2 Variant 2, question 1.

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