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Question 0116
Equations and Inequalities
2016 Paper 1 Question 1 Variant
Question
Generate new
(a)
Express
4
x
2
−
19
x
+
16
x
−
5
−
(
3
x
−
4
)
{\displaystyle \frac{ 4 x^2 - 19 x + 16 }{ x - 5 } - (3 x - 4)}
x
−
5
4
x
2
−
19
x
+
16
−
(
3
x
−
4
)
as a single simplified fraction.
[2]
(b)
Hence without using a calculator, solve the inequality
4
x
2
−
19
x
+
16
x
−
5
<
3
x
−
4
\frac{ 4 x^2 - 19 x + 16 }{ x - 5 } < 3 x - 4
x
−
5
4
x
2
−
19
x
+
16
<
3
x
−
4
[3]
Answer
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