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