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A-LevelMathematicsAlgebra9709/21 · Oct/Nov 2024 · Q24 Marks

Solve the inequality |x-7|>4x+3.

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

Mark scheme

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

  1. [M1] Attempt solution of equation or inequality, where signs of x and 4x are different
  2. [A1] Obtain x = 4/5 and x = -10/3
  3. [A1] Consider condition 4x+3 < 0 or test values for the regions defined by critical points
  4. [A1] Conclude x < 4/5

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About this question

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

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