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Question 0116
Equations and Inequalities
2016 Paper 1 Question 1 Variant
Question
Generate new
(a)
Express
3
x
2
+
x
+
11
x
−
4
−
(
x
−
2
)
{\displaystyle \frac{ 3 x^2 + x + 11 }{ x - 4 } - (x - 2)}
x
−
4
3
x
2
+
x
+
11
−
(
x
−
2
)
as a single simplified fraction.
[2]
(b)
Hence without using a calculator, solve the inequality
3
x
2
+
x
+
11
x
−
4
>
x
−
2
\frac{ 3 x^2 + x + 11 }{ x - 4 } > x - 2
x
−
4
3
x
2
+
x
+
11
>
x
−
2
[3]
Answer
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