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Question 0116
Equations and Inequalities
2016 Paper 1 Question 1 Variant
Question
Generate new
(a)
Express
12
x
2
+
13
x
−
14
x
−
2
−
(
5
x
+
4
)
{\displaystyle \frac{ 12 x^2 + 13 x - 14 }{ x - 2 } - (5 x + 4)}
x
−
2
12
x
2
+
13
x
−
14
−
(
5
x
+
4
)
as a single simplified fraction.
[2]
(b)
Hence without using a calculator, solve the inequality
12
x
2
+
13
x
−
14
x
−
2
>
5
x
+
4
\frac{ 12 x^2 + 13 x - 14 }{ x - 2 } > 5 x + 4
x
−
2
12
x
2
+
13
x
−
14
>
5
x
+
4
[3]
Answer
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