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Question 0116
Equations and Inequalities
2016 Paper 1 Question 1 Variant
Question
Generate new
(a)
Express
8
x
2
−
15
x
−
11
x
−
4
−
(
2
x
+
4
)
{\displaystyle \frac{ 8 x^2 - 15 x - 11 }{ x - 4 } - (2 x + 4)}
x
−
4
8
x
2
−
15
x
−
11
−
(
2
x
+
4
)
as a single simplified fraction.
[2]
(b)
Hence without using a calculator, solve the inequality
8
x
2
−
15
x
−
11
x
−
4
>
2
x
+
4
\frac{ 8 x^2 - 15 x - 11 }{ x - 4 } > 2 x + 4
x
−
4
8
x
2
−
15
x
−
11
>
2
x
+
4
[3]
Answer
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