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Question 0116
Equations and Inequalities
2016 Paper 1 Question 1 Variant
Question
Generate new
(a)
Express
11
x
2
−
14
x
+
4
x
−
2
−
(
4
x
−
5
)
{\displaystyle \frac{ 11 x^2 - 14 x + 4 }{ x - 2 } - (4 x - 5)}
x
−
2
11
x
2
−
14
x
+
4
−
(
4
x
−
5
)
as a single simplified fraction.
[2]
(b)
Hence without using a calculator, solve the inequality
11
x
2
−
14
x
+
4
x
−
2
>
4
x
−
5
\frac{ 11 x^2 - 14 x + 4 }{ x - 2 } > 4 x - 5
x
−
2
11
x
2
−
14
x
+
4
>
4
x
−
5
[3]
Answer
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