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Question 0116
Equations and Inequalities
2016 Paper 1 Question 1 Variant
Question
Generate new
(a)
Express
5
x
2
−
17
x
+
8
x
−
3
−
(
4
x
−
2
)
{\displaystyle \frac{ 5 x^2 - 17 x + 8 }{ x - 3 } - (4 x - 2)}
x
−
3
5
x
2
−
17
x
+
8
−
(
4
x
−
2
)
as a single simplified fraction.
[2]
(b)
Hence without using a calculator, solve the inequality
5
x
2
−
17
x
+
8
x
−
3
>
4
x
−
2
\frac{ 5 x^2 - 17 x + 8 }{ x - 3 } > 4 x - 2
x
−
3
5
x
2
−
17
x
+
8
>
4
x
−
2
[3]
Answer
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