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Question 0116
Equations and Inequalities
2016 Paper 1 Question 1 Variant
Question
Generate new
(a)
Express
2
x
2
+
7
x
+
9
x
+
5
−
(
x
+
2
)
{\displaystyle \frac{ 2 x^2 + 7 x + 9 }{ x + 5 } - (x + 2)}
x
+
5
2
x
2
+
7
x
+
9
−
(
x
+
2
)
as a single simplified fraction.
[2]
(b)
Hence without using a calculator, solve the inequality
2
x
2
+
7
x
+
9
x
+
5
>
x
+
2
\frac{ 2 x^2 + 7 x + 9 }{ x + 5 } > x + 2
x
+
5
2
x
2
+
7
x
+
9
>
x
+
2
[3]
Answer
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