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Question 0116
Equations and Inequalities
2016 Paper 1 Question 1 Variant
Question
Generate new
(a)
Express
7
x
2
−
4
x
+
1
x
−
(
5
x
−
1
)
{\displaystyle \frac{ 7 x^2 - 4 x + 1 }{ x } - (5 x - 1)}
x
7
x
2
−
4
x
+
1
−
(
5
x
−
1
)
as a single simplified fraction.
[2]
(b)
Hence without using a calculator, solve the inequality
7
x
2
−
4
x
+
1
x
>
5
x
−
1
\frac{ 7 x^2 - 4 x + 1 }{ x } > 5 x - 1
x
7
x
2
−
4
x
+
1
>
5
x
−
1
[3]
Answer
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