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Question 0116
Equations and Inequalities
2016 Paper 1 Question 1 Variant
Question
Generate new
(a)
Express
3
x
2
+
4
x
−
20
x
+
5
−
(
2
x
−
4
)
{\displaystyle \frac{ 3 x^2 + 4 x - 20 }{ x + 5 } - (2 x - 4)}
x
+
5
3
x
2
+
4
x
−
20
−
(
2
x
−
4
)
as a single simplified fraction.
[2]
(b)
Hence without using a calculator, solve the inequality
3
x
2
+
4
x
−
20
x
+
5
<
2
x
−
4
\frac{ 3 x^2 + 4 x - 20 }{ x + 5 } < 2 x - 4
x
+
5
3
x
2
+
4
x
−
20
<
2
x
−
4
[3]
Answer
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