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Question 0116
Equations and Inequalities
2016 Paper 1 Question 1 Variant
Question
Generate new
(a)
Express
6
x
2
+
24
x
+
27
x
+
2
−
(
4
x
+
3
)
{\displaystyle \frac{ 6 x^2 + 24 x + 27 }{ x + 2 } - (4 x + 3)}
x
+
2
6
x
2
+
24
x
+
27
−
(
4
x
+
3
)
as a single simplified fraction.
[2]
(b)
Hence without using a calculator, solve the inequality
6
x
2
+
24
x
+
27
x
+
2
>
4
x
+
3
\frac{ 6 x^2 + 24 x + 27 }{ x + 2 } > 4 x + 3
x
+
2
6
x
2
+
24
x
+
27
>
4
x
+
3
[3]
Answer
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