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Question 0116
Equations and Inequalities
2016 Paper 1 Question 1 Variant
Question
Generate new
(a)
Express
10
x
2
−
15
x
+
2
x
−
2
−
(
3
x
−
1
)
{\displaystyle \frac{ 10 x^2 - 15 x + 2 }{ x - 2 } - (3 x - 1)}
x
−
2
10
x
2
−
15
x
+
2
−
(
3
x
−
1
)
as a single simplified fraction.
[2]
(b)
Hence without using a calculator, solve the inequality
10
x
2
−
15
x
+
2
x
−
2
<
3
x
−
1
\frac{ 10 x^2 - 15 x + 2 }{ x - 2 } < 3 x - 1
x
−
2
10
x
2
−
15
x
+
2
<
3
x
−
1
[3]
Answer
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