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Question 0116
Equations and Inequalities
2016 Paper 1 Question 1 Variant
Question
Generate new
(a)
Express
12
x
2
−
31
x
+
12
x
−
4
−
(
3
x
−
5
)
{\displaystyle \frac{ 12 x^2 - 31 x + 12 }{ x - 4 } - (3 x - 5)}
x
−
4
12
x
2
−
31
x
+
12
−
(
3
x
−
5
)
as a single simplified fraction.
[2]
(b)
Hence without using a calculator, solve the inequality
12
x
2
−
31
x
+
12
x
−
4
<
3
x
−
5
\frac{ 12 x^2 - 31 x + 12 }{ x - 4 } < 3 x - 5
x
−
4
12
x
2
−
31
x
+
12
<
3
x
−
5
[3]
Answer
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