A-LevelMathematicsAlgebra9709/21 · May/June 2017 · Q24 Marks
Solve the inequality |4 – x| ≤ |3 – 2x|.
- Solve the inequality |4 – x| ≤ |3 – 2x|.[4]
Mark scheme
Marking points from the official mark scheme (May/June 2017). The mark or mark type is shown in brackets.
- [M1] State or imply non-modulus inequality (4−x)² ≤ (3-2x)² or corresponding equation, pair of linear equations or linear inequalities
- [M1] Attempt solution of 3-term quadratic equation, of two linear equations or of two linear inequalities
- [A1] Obtain critical values –1 and 7/3
- [A1] State answer x ≤ −1, x ≥ 7/3
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