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A-LevelMathematicsAlgebra9709/22 · May/June 2024 · Q14 Marks

Solve the inequality |5x+7|>|2x-3|.

  1. 1Solve the inequality |5x+7|>|2x-3|.[4]

Mark scheme

Marking points from the official mark scheme (May/June 2024). The mark or mark type is shown in brackets.

  1. [B1] Solve 5x+7=2x-3 to obtain -10/3 Or inequality.
  2. [M1] Attempt solution of linear equation where 5x and 2x have different signs Or inequality.
  3. [A1] Obtain -4/7
  4. [A1] State x<-10/3, x>-4/7 A0 if ‘... and ...’ used.
  5. [(B1)] State or imply non-modulus equation (5x + 7)² = (2x – 3)² Or inequality.
  6. [(M1)] Attempt solution of three-term quadratic equation Or inequality.
  7. [(A1)] Obtain -10/3 and -4/7
  8. [(A1)] State x<-10/3, x>-4/7 A0 if ‘... and ...’ used.

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About this question

Topic
Algebra, A-Level Mathematics (syllabus 9709). Structured question, 4 marks.
Source
A-Level Mathematics, May/June 2024 Paper 2 Variant 2, question 1.

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