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Question 0116
Equations and Inequalities
2016 Paper 1 Question 1 Variant
Question
Generate new
(a)
Express
7
x
2
+
6
x
−
34
x
+
5
−
(
x
−
4
)
{\displaystyle \frac{ 7 x^2 + 6 x - 34 }{ x + 5 } - (x - 4)}
x
+
5
7
x
2
+
6
x
−
34
−
(
x
−
4
)
as a single simplified fraction.
[2]
(b)
Hence without using a calculator, solve the inequality
7
x
2
+
6
x
−
34
x
+
5
>
x
−
4
\frac{ 7 x^2 + 6 x - 34 }{ x + 5 } > x - 4
x
+
5
7
x
2
+
6
x
−
34
>
x
−
4
[3]
Answer
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