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Question 0116
Equations and Inequalities
2016 Paper 1 Question 1 Variant
Question
Generate new
(a)
Express
11
x
2
−
3
x
−
9
x
−
(
3
x
−
2
)
{\displaystyle \frac{ 11 x^2 - 3 x - 9 }{ x } - (3 x - 2)}
x
11
x
2
−
3
x
−
9
−
(
3
x
−
2
)
as a single simplified fraction.
[2]
(b)
Hence without using a calculator, solve the inequality
11
x
2
−
3
x
−
9
x
<
3
x
−
2
\frac{ 11 x^2 - 3 x - 9 }{ x } < 3 x - 2
x
11
x
2
−
3
x
−
9
<
3
x
−
2
[3]
Answer
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