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A-LevelMathematicsFunctions9709/23 · May/June 2020 · Q55 Marks

Sketch, on the same diagram, the graphs of y = |2x – 3| and y = 3x + 5.

  1. (a)Sketch, on the same diagram, the graphs of y = |2x – 3| and y = 3x + 5.[2]
  2. (b)Solve the inequality 3x + 5 < |2x – 3|.[3]

Mark scheme

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

  1. Draw V-shaped graph with vertex on positive x-axis
  2. Draw (more or less) correct graph of y = 3x + 5
  3. State equation 3x + 5 = -(2x - 3) or corresponding inequality
  4. Attempt solution of linear equation / inequality where signs of 3x and 2x are different
  5. State answer x < -2/5

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About this question

Topic
Functions, A-Level Mathematics (syllabus 9709). Structured question, 5 marks.
Source
A-Level Mathematics, May/June 2020 Paper 2 Variant 3, question 5.

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