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Equations and Inequalities

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Question 114
a.

Find the quadratic inequality in the form x2+ax+b<0x^2+ax+b<0x2+ax+b<0 whose solution is

−4<x<3 -4<x<3 −4<x<3
[3]
b.

Find the value of k k\,k for which the set of values for x x\,x which satisfy both of the inequalities

x2+x−12<0 x^2+x-12<0 x2+x−12<0 9+3x≤k+x 9+3x\leq k+x 9+3x≤k+x

is −4<x≤12\displaystyle -4<x\leq\frac{1}{2}−4<x≤21​

[2]
Markscheme

Equations and Inequalities Questions

  1. A Level
  2. /Maths
  3. /Equations and Inequalities

206 exam-style questions on Edexcel A Level Maths Equations and Inequalities, covering 3.1 Linear Simultaneous Equations, 3.2 Quadratic Simultaneous Equations, 3.3 Simultaneous Equations on Graphs, 3.4 Linear Inequalities, 3.5 Quadratic Inequalities, and 3.6 Inequalities on Graphs. Each one has a worked solution and a mark scheme showing where the marks go.

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