◈ Oracle PrepSign Up Free
O-LevelAdditional MathematicsEquations, inequalities and graphs4037/22 · Oct/Nov 2024 · Q45 Marks

Use a graphical method to solve the inequality |2x-8|>4.

  1. Use a graphical method to solve the inequality |2x-8|>4.[5]

This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.

Mark scheme

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

  1. [M3] Correct intersecting graphs [M1] for an attempt to draw the sections from (0, 8) to (2, 4) and (6, 4) to (8, 8) with at least one side accurate or for v shape with vertex at (4, 0) [A1] for correct graph [B1] for y = 4 drawn
  2. [M1] dep on 3 marks awarded for intersecting graphs critical values: 2, 6
  3. [A1] x < 2, x > 6 mark final answer

Write your answer and get it marked

On Oracle Prep you can write or photograph your own answer and have it marked by AI against this mark scheme, with feedback on what you missed.

Sign up free →

About this question

Topic
Equations, inequalities and graphs, O-Level Additional Mathematics (syllabus 4037). Structured question, 5 marks.
Source
O-Level Additional Mathematics, Oct/Nov 2024 Paper 2 Variant 2, question 4.

Questions and mark schemes are from past examination papers and remain the copyright of the exam board. How Oracle Prep builds its content

Related Additional Mathematics questions

Equations, inequalities and graphsMay/June 20145m

Sketch the graph of y = |(2x+1)(x-2)| for -2 ≤ x ≤ 3, showing the coordinates of the points where the curve meets the…

Equations, inequalities and graphsMay/June 20146m

The line y=x-5 meets the curve x² + y² + 2x – 35 = 0 at the points A and B. Find the exact length of AB.

Equations, inequalities and graphsMay/June 20154m

Find the matrix A if 4A +5 [4 0 -1; 3 -2 5] = [52 -8 19; 31 2 65].

TrigonometryMay/June 202210m

The function f is defined by f(x) = 3 sin²x-2cosx for 2≤x≤4, where x is in radians.

SeriesMay/June 202213m

A geometric progression has first term a and common ratio r, where r > 0. The second term of this progression is 8. T…

Differentiation and integrationMay/June 20227m

A curve is such that d²y/dx² = ((√x+1)/√x)². Given that the gradient of the curve is 4/3 at the point (1, −1), find t…

← Browse all past-paper questions

© 2026 Oracle Prep