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Question 0116
Equations and Inequalities
2016 Paper 1 Question 1 Variant
Question
Generate new
(a)
Express
8
x
2
−
25
x
+
5
x
−
1
−
(
x
−
2
)
{\displaystyle \frac{ 8 x^2 - 25 x + 5 }{ x - 1 } - (x - 2)}
x
−
1
8
x
2
−
25
x
+
5
−
(
x
−
2
)
as a single simplified fraction.
[2]
(b)
Hence without using a calculator, solve the inequality
8
x
2
−
25
x
+
5
x
−
1
>
x
−
2
\frac{ 8 x^2 - 25 x + 5 }{ x - 1 } > x - 2
x
−
1
8
x
2
−
25
x
+
5
>
x
−
2
[3]
Answer
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