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Question 0107a
Equations and Inequalities
2007 Paper 1 Question 1 Variant
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−
x
2
+
11
x
−
46
x
2
−
6
x
+
8
+
2
=
x
2
−
x
−
30
x
2
−
6
x
+
8
.
\frac{ - x^2 + 11 x - 46 }{ x^2 - 6 x + 8 } + 2=\frac{ x^2 - x - 30 }{ x^2 - 6 x + 8 }.
x
2
−
6
x
+
8
−
x
2
+
11
x
−
46
+
2
=
x
2
−
6
x
+
8
x
2
−
x
−
30
.
Hence, without using a calculator, solve the inequality
−
x
2
+
11
x
−
46
x
2
−
6
x
+
8
>
−
2
\frac{ - x^2 + 11 x - 46 }{ x^2 - 6 x + 8 } > -2
x
2
−
6
x
+
8
−
x
2
+
11
x
−
46
>
−
2
[5]
Answer
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