Solve k|linear| compared to |linear|

Solve inequality where one side has a coefficient multiplying the modulus, e.g. 2|x-2| > |3x+1| or 3|2x-1| > |x+4|.

17 questions · Standard +0.6

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CAIE P3 2008 June Q1
4 marks Standard +0.8
1 Solve the inequality \(| x - 2 | > 3 | 2 x + 1 |\).
CAIE P3 2010 June Q1
4 marks Standard +0.8
1 Solve the inequality \(| x - 3 | > 2 | x + 1 |\).
CAIE P3 2016 June Q1
4 marks Standard +0.3
1 Solve the inequality \(2 | x - 2 | > | 3 x + 1 |\).
CAIE P3 2017 June Q1
4 marks Standard +0.8
1 Solve the inequality \(| 2 x + 1 | < 3 | x - 2 |\).
CAIE P3 2017 March Q2
4 marks Standard +0.8
2 Solve the inequality \(| x - 4 | < 2 | 3 x + 1 |\).
CAIE P3 2010 November Q1
4 marks Standard +0.3
1 Solve the inequality \(2 | x - 3 | > | 3 x + 1 |\).
CAIE P3 2012 November Q1
4 marks Standard +0.3
1 Find the set of values of \(x\) satisfying the inequality \(3 | x - 1 | < | 2 x + 1 |\).
CAIE P3 2015 November Q1
4 marks Standard +0.8
1 Solve the inequality \(| 2 x - 5 | > 3 | 2 x + 1 |\).
CAIE P3 2018 November Q1
4 marks Standard +0.3
1 Solve the inequality \(3 | 2 x - 1 | > | x + 4 |\).
CAIE P3 2019 November Q2
4 marks Standard +0.8
2 Solve the inequality \(| 2 x - 3 | > 4 | x + 1 |\).
CAIE P3 2019 November Q1
4 marks Standard +0.3
1 Solve the inequality \(2 | x + 2 | > | 3 x - 1 |\).
CAIE P3 Specimen Q1
4 marks Standard +0.8
1 Solve the inequality \(| 2 x - 5 | > 3 | 2 x + 1 |\).
CAIE P3 2020 June Q1
4 marks Standard +0.8
1 Solve the inequality \(| 2 x - 1 | > 3 | x + 2 |\).
CAIE P3 2021 June Q1
4 marks Standard +0.8
1 Solve the inequality \(2 | 3 x - 1 | < | x + 1 |\).
CAIE P3 2021 June Q1
4 marks Standard +0.3
1 Solve the inequality \(| 2 x - 1 | < 3 | x + 1 |\).
CAIE P3 2023 June Q1
4 marks Standard +0.3
1 Solve the inequality \(| 5 x - 3 | < 2 | 3 x - 7 |\).
CAIE P3 2022 March Q1
4 marks Standard +0.8
1 Solve the inequality \(| 2 x + 3 | > 3 | x + 2 |\).