A-LevelMathematicsAlgebra9709/22 · May/June 2018 · Q14 Marks
Solve the inequality |3x-2| < |x + 5|.
- Solve the inequality |3x-2| < |x + 5|.[4]
Mark scheme
Marking points from the official mark scheme (May/June 2018). The mark or mark type is shown in brackets.
- [B1] State or imply non-modular inequality (3x – 2)² < (x + 5)² or corresponding equation or pair of linear equations
- [M1] Attempt solution of 3-term quadratic equation or of 2 linear equations
- [A1] Obtain critical values –3/2 and 7/2
- [A1] State answer –3/2 < x < 7/2
- Or
- [B1] Obtain critical value 7/2 from graph, inspection, equation
- [B2] Obtain critical value –3/2 similarly
- [B1] State answer –3/2 < x < 7/2
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