Solve linear inequality

Solve a simple linear inequality by rearranging and isolating x.

29 questions · Easy -1.7

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OCR MEI C1 2009 January Q3
3 marks Easy -1.8
3 Solve the inequality \(7 - x < 5 x - 2\).
OCR MEI C1 2007 June Q1
3 marks Easy -2.0
1 Solve the inequality \(1 - 2 x < 4 + 3 x\).
OCR MEI C1 2008 June Q1
2 marks Easy -1.8
1 Solve the inequality \(3 x - 1 > 5 - x\).
OCR MEI C1 2015 June Q4
3 marks Easy -1.8
4 Solve the inequality \(\frac { 4 x - 5 } { 7 } > 2 x + 1\).
OCR C1 Q1
3 marks Easy -1.8
  1. Solve the inequality
$$4 ( x - 2 ) < 2 x + 5$$
OCR MEI C1 Q1
3 marks Easy -1.8
1 Solve the inequality \(\frac { 4 x - 5 } { 7 } > 2 x + 1\).
OCR MEI C1 Q4
4 marks Easy -1.8
4 Solve the following inequality. $$\frac { 2 x + 1 } { 5 } < \frac { 3 x + 4 } { 6 }$$
OCR MEI C1 Q5
3 marks Easy -1.8
5 Solve the inequality \(6 ( x + 3 ) > 2 x + 5\).
OCR MEI C1 Q6
2 marks Easy -1.8
6 Solve the inequality \(5 - 2 x < 0\).
OCR MEI C1 Q8
3 marks Easy -1.8
8 Solve the inequality \(\frac { 5 x - 3 } { 2 } < x + 5\).
OCR MEI C1 Q10
3 marks Easy -1.8
10 Solve the inequality \(7 - x < 5 x - 2\).
OCR MEI C1 Q11
2 marks Easy -1.8
11 Solve the inequality \(3 x - 1 > 5 - x\).
OCR MEI C1 Q12
3 marks Easy -1.8
12 Solve the inequality \(1 - 2 x < 4 + 3 x\).
OCR MEI C1 Q14
4 marks Easy -1.8
14 Solve the inequality \(\frac { 3 ( 2 x + 1 ) } { 4 } > - 6\).
OCR MEI C1 2010 January Q2
3 marks Easy -1.8
2 Solve the inequality \(\frac { 5 x - 3 } { 2 } < x + 5\).
OCR MEI C1 2011 January Q4
2 marks Easy -1.8
4 Solve the inequality \(5 - 2 x < 0\).
OCR MEI C1 2012 January Q5
4 marks Easy -1.8
5 Solve the following inequality. $$\frac { 2 x + 1 } { 5 } < \frac { 3 x + 4 } { 6 }$$
OCR MEI C1 2013 January Q8
4 marks Easy -1.8
8 Rearrange the equation \(5 c + 9 t = a ( 2 c + t )\) to make \(c\) the subject.
OCR MEI C1 2014 June Q5
4 marks Easy -1.8
5 Make \(a\) the subject of \(3 ( a + 4 ) = a c + 5 f\).
OCR MEI C1 2016 June Q3
4 marks Easy -1.8
3
  1. Solve the inequality \(\frac { 1 - 2 x } { 4 } > 3\).
  2. Simplify \(\left( 5 c ^ { 2 } d \right) ^ { 3 } \times \frac { 2 c ^ { 4 } } { d ^ { 5 } }\).
OCR MEI C1 2016 June Q4
4 marks Moderate -0.5
4 You are given that \(a = \frac { 3 c + 2 a } { 2 c - 5 }\). Express \(a\) in terms of \(c\).
OCR MEI AS Paper 2 2020 November Q1
2 marks Easy -1.8
1 Solve the inequality \(2 x + 5 < 6 x - 3\).
OCR MEI Paper 2 2021 November Q3
3 marks Easy -2.0
3 Draw a number line to show the values of \(x\) which belong to the set \(\{ x : x \geqslant 2 \} \cap \{ x : x < 7 \}\).
OCR MEI Paper 3 2024 June Q1
2 marks Easy -1.8
1 Solve the inequality \(\frac { x } { 5 } > 6 - x\).
Edexcel C1 Q4
6 marks Easy -1.8
4. (a) Solve the inequality $$4 ( x - 2 ) < 2 x + 5$$ (b) Find the value of \(y\) such that $$4 ^ { y + 1 } = 8 ^ { 2 y - 1 } .$$