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Question 0116
Equations and Inequalities
2016 Paper 1 Question 1 Variant
Question
Generate new
(a)
Express
7
x
2
+
18
x
+
5
x
+
4
−
(
5
x
+
1
)
{\displaystyle \frac{ 7 x^2 + 18 x + 5 }{ x + 4 } - (5 x + 1)}
x
+
4
7
x
2
+
18
x
+
5
−
(
5
x
+
1
)
as a single simplified fraction.
[2]
(b)
Hence without using a calculator, solve the inequality
7
x
2
+
18
x
+
5
x
+
4
>
5
x
+
1
\frac{ 7 x^2 + 18 x + 5 }{ x + 4 } > 5 x + 1
x
+
4
7
x
2
+
18
x
+
5
>
5
x
+
1
[3]
Answer
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