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Question 0107a
Equations and Inequalities
2007 Paper 1 Question 1 Variant
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4
x
2
−
33
x
+
59
x
2
−
9
x
+
18
−
3
=
x
2
−
6
x
+
5
x
2
−
9
x
+
18
.
\frac{ 4 x^2 - 33 x + 59 }{ x^2 - 9 x + 18 } - 3=\frac{ x^2 - 6 x + 5 }{ x^2 - 9 x + 18 }.
x
2
−
9
x
+
18
4
x
2
−
33
x
+
59
−
3
=
x
2
−
9
x
+
18
x
2
−
6
x
+
5
.
Hence, without using a calculator, solve the inequality
4
x
2
−
33
x
+
59
x
2
−
9
x
+
18
<
3
\frac{ 4 x^2 - 33 x + 59 }{ x^2 - 9 x + 18 } < 3
x
2
−
9
x
+
18
4
x
2
−
33
x
+
59
<
3
[5]
Answer
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