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O-LevelMathematicsAlgebra and graphs4024/12 · Oct/Nov 2017 · Q143 Marks

Find the two solutions of x/3 - 1 < 3x/4 which are negative integers.

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2017). The mark or mark type is shown in brackets.

  1. [3] -2 and -1
  2. B1 for (−)5x ... (−)k ; or (−)1 ... (−)5/k x (i.e. collecting x terms, where ... represents any inequality symbol, or = ) and k = 12, 4, 3, 1 or 48. Or equiv., with zero on one side and both terms on the other.
  3. B1 for x > -2.4; or for −2.4 <x
  4. If 0 scored, then C1 for one correct solution
  5. or for x = -12/5 oe in the answer space.

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About this question

Topic
Algebra and graphs, O-Level Mathematics (syllabus 4024). Structured question, 3 marks.
Source
O-Level Mathematics, Oct/Nov 2017 Paper 1 Variant 2, question 14.

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