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Question 0116
Equations and Inequalities
2016 Paper 1 Question 1 Variant
Question
Generate new
(a)
Express
9
x
2
−
22
x
+
19
x
−
3
−
(
x
−
4
)
{\displaystyle \frac{ 9 x^2 - 22 x + 19 }{ x - 3 } - (x - 4)}
x
−
3
9
x
2
−
22
x
+
19
−
(
x
−
4
)
as a single simplified fraction.
[2]
(b)
Hence without using a calculator, solve the inequality
9
x
2
−
22
x
+
19
x
−
3
>
x
−
4
\frac{ 9 x^2 - 22 x + 19 }{ x - 3 } > x - 4
x
−
3
9
x
2
−
22
x
+
19
>
x
−
4
[3]
Answer
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