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Question 0116
Equations and Inequalities
2016 Paper 1 Question 1 Variant
Question
Generate new
(a)
Express
4
x
2
+
x
−
9
x
+
1
−
(
3
x
−
3
)
{\displaystyle \frac{ 4 x^2 + x - 9 }{ x + 1 } - (3 x - 3)}
x
+
1
4
x
2
+
x
−
9
−
(
3
x
−
3
)
as a single simplified fraction.
[2]
(b)
Hence without using a calculator, solve the inequality
4
x
2
+
x
−
9
x
+
1
<
3
x
−
3
\frac{ 4 x^2 + x - 9 }{ x + 1 } < 3 x - 3
x
+
1
4
x
2
+
x
−
9
<
3
x
−
3
[3]
Answer
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