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O-LevelAdditional MathematicsEquations, inequalities and graphs4037/22 · Oct/Nov 2021 · Q16 Marks

[Figure showing a Cartesian coordinate plane with x from -6 to 6 and y from 0 to 20.]

  1. (a)On the axes, draw the graphs of y=5+|3x-2| and y = 11-x.[4]
  2. (b)Using the graphs, or otherwise, solve the inequality 11-x<5+|3x-2|.[2]

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Mark scheme

Marking points from the official mark scheme (Oct/Nov 2021). The mark or mark type is shown in brackets.

  1. [M1] for v shape of y = 5+|3x-2| with vertex at (2/3 ,5)
  2. [A1] for correct graph with y-intercept (0,7)
  3. [M1] for correct straight line for y = 11-x
  4. [A1] for correct straight line with y-intercept (0,11)
  5. [B2] Mark final answer for B2
  6. [B1] FT for exactly two correct critical values or correct FT critical values soi, FT dependent on at least M1 in (a)

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About this question

Topic
Equations, inequalities and graphs, O-Level Additional Mathematics (syllabus 4037). Structured question, 6 marks.
Source
O-Level Additional Mathematics, Oct/Nov 2021 Paper 2 Variant 2, question 1.

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