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Question 0116
Equations and Inequalities
2016 Paper 1 Question 1 Variant
Question
Generate new
(a)
Express
9
x
2
+
x
+
4
x
−
1
−
(
5
x
−
1
)
{\displaystyle \frac{ 9 x^2 + x + 4 }{ x - 1 } - (5 x - 1)}
x
−
1
9
x
2
+
x
+
4
−
(
5
x
−
1
)
as a single simplified fraction.
[2]
(b)
Hence without using a calculator, solve the inequality
9
x
2
+
x
+
4
x
−
1
<
5
x
−
1
\frac{ 9 x^2 + x + 4 }{ x - 1 } < 5 x - 1
x
−
1
9
x
2
+
x
+
4
<
5
x
−
1
[3]
Answer
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