Solve |linear| < constant (pure inequality)

Solve a straightforward inequality of the form |ax+b| < c or |ax+b| ≤ c where c is a positive constant, with no sketch required and no follow-up substitution part.

7 questions · Easy -1.5

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CAIE P2 2011 November Q1

3 marks Easy -1.2

1 Solve the inequality \(| 4 - 5 x | < 3\).

OCR MEI C3 2008 June Q1

4 marks Easy -1.2

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

OCR MEI C3 Q7

3 marks Easy -1.2

7 Solve the inequality \(| x - 1 | < 3\).

OCR MEI C3 Q9

4 marks Easy -1.2

9 Solve the inequality \(| 2 x - 1 | \leqslant 3\).

OCR MEI C3 2009 January Q1

3 marks Easy -1.8

1 Solve the inequality \(| x - 1 | < 3\).

OCR MEI Paper 2 2018 June Q2

3 marks Easy -1.8

2 Solve the inequality \(| 2 x + 1 | < 5\).

Pre-U Pre-U 9794/1 Specimen Q1

3 marks Easy -1.8

1 Find the set of all real values of \(x\) which satisfy the equation $$| 2 x + 5 | < 7$$