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Question 0116
Equations and Inequalities
2016 Paper 1 Question 1 Variant
Question
Generate new
(a)
Express
6
x
2
−
11
x
+
4
x
−
4
−
(
3
x
−
1
)
{\displaystyle \frac{ 6 x^2 - 11 x + 4 }{ x - 4 } - (3 x - 1)}
x
−
4
6
x
2
−
11
x
+
4
−
(
3
x
−
1
)
as a single simplified fraction.
[2]
(b)
Hence without using a calculator, solve the inequality
6
x
2
−
11
x
+
4
x
−
4
>
3
x
−
1
\frac{ 6 x^2 - 11 x + 4 }{ x - 4 } > 3 x - 1
x
−
4
6
x
2
−
11
x
+
4
>
3
x
−
1
[3]
Answer
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