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