Compound inequality with double bound

Solve inequalities of the form a < f(x) < b by splitting into two separate inequalities.

4 questions · Easy -1.0

1.02g Inequalities: linear and quadratic in single variable
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OCR C1 2009 June Q8
6 marks Easy -1.2
8 Solve the inequalities
  1. \(- 35 < 6 x + 7 < 1\),
  2. \(3 x ^ { 2 } > 48\). \(9 \quad A\) is the point \(( 4 , - 3 )\) and \(B\) is the point \(( - 1,9 )\).
OCR H240/01 2018 September Q1
5 marks Easy -1.8
1 Solve the following inequalities.
  1. \(- 5 < 3 x + 1 < 14\)
  2. \(4 x ^ { 2 } + 3 > 28\)
OCR C1 2006 June Q5
8 marks Moderate -0.8
Solve the inequalities
  1. \(1 < 4x - 9 < 5\), [3]
  2. \(y^2 \geq 4y + 5\). [5]
OCR C1 2014 June Q5
8 marks Moderate -0.3
Solve the following inequalities.
  1. \(5 < 6x + 3 < 14\) [3]
  2. \(x(3x - 13) \geqslant 10\) [5]