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Question 0116
Equations and Inequalities
2016 Paper 1 Question 1 Variant
Question
Generate new
(a)
Express
8
x
2
+
4
x
x
+
1
−
5
x
{\displaystyle \frac{ 8 x^2 + 4 x }{ x + 1 } - 5 x}
x
+
1
8
x
2
+
4
x
−
5
x
as a single simplified fraction.
[2]
(b)
Hence without using a calculator, solve the inequality
8
x
2
+
4
x
x
+
1
<
5
x
\frac{ 8 x^2 + 4 x }{ x + 1 } < 5 x
x
+
1
8
x
2
+
4
x
<
5
x
[3]
Answer
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