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Question 0116
Equations and Inequalities
2016 Paper 1 Question 1 Variant
Question
Generate new
(a)
Express
3
x
2
−
9
x
+
5
x
−
1
−
(
x
−
3
)
{\displaystyle \frac{ 3 x^2 - 9 x + 5 }{ x - 1 } - (x - 3)}
x
−
1
3
x
2
−
9
x
+
5
−
(
x
−
3
)
as a single simplified fraction.
[2]
(b)
Hence without using a calculator, solve the inequality
3
x
2
−
9
x
+
5
x
−
1
>
x
−
3
\frac{ 3 x^2 - 9 x + 5 }{ x - 1 } > x - 3
x
−
1
3
x
2
−
9
x
+
5
>
x
−
3
[3]
Answer
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