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Question 0116
Equations and Inequalities
2016 Paper 1 Question 1 Variant
Question
Generate new
(a)
Express
3
x
2
−
7
x
+
6
x
−
1
−
2
x
{\displaystyle \frac{ 3 x^2 - 7 x + 6 }{ x - 1 } - 2 x}
x
−
1
3
x
2
−
7
x
+
6
−
2
x
as a single simplified fraction.
[2]
(b)
Hence without using a calculator, solve the inequality
3
x
2
−
7
x
+
6
x
−
1
>
2
x
\frac{ 3 x^2 - 7 x + 6 }{ x - 1 } > 2 x
x
−
1
3
x
2
−
7
x
+
6
>
2
x
[3]
Answer
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