A-LevelMathematicsAlgebra9709/31 · May/June 2021 · Q14 Marks
Solve the inequality 2|3x – 1| < |x + 1|.
- Solve the inequality 2|3x – 1| < |x + 1|.[4]
Mark scheme
Marking points from the official mark scheme (May/June 2021). The mark or mark type is shown in brackets.
- [B1] State or imply non-modular inequality 2² (3x−1)² < (x+1)², or corresponding quadratic equation, or pair of linear equations
- [M1] Form and solve a 3-term quadratic, or solve two linear equations for x
- [A1] Obtain critical values x = 3/5 and x = 1/7
- [A1] State final answer 1/7 < x < 3/5
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