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|.

20 questions · Standard +0.5

1.02l Modulus function: notation, relations, equations and inequalities

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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 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 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 \(| 2 x + 3 | > 3 | x + 2 |\).

CAIE P3 2020 November Q1

4 marks Standard +0.3

1 Solve the inequality \(2 - 5 x > 2 | x - 3 |\).

OCR MEI C3 Q1

4 marks Standard +0.3

1 Solve the equation \(| 3 - 2 x | = 4 | x |\).

CAIE P3 2018 November Q1

4 marks Moderate -0.3

Solve the inequality \(3|2x - 1| > |x + 4|\). [4]

OCR MEI C3 2014 June Q3

4 marks Standard +0.3

Solve the equation \(|3 - 2x| = 4|x|\). [4]

WJEC Unit 3 2018 June Q1

4 marks Standard +0.3

Solve the equation $$|2x + 1| = 3|x - 2|.$$ [4]