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Question 0107a
Equations and Inequalities
2007 Paper 1 Question 1 Variant
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3
x
2
−
13
x
−
18
x
2
−
7
x
+
6
−
2
=
x
2
+
x
−
30
x
2
−
7
x
+
6
.
\frac{ 3 x^2 - 13 x - 18 }{ x^2 - 7 x + 6 } - 2=\frac{ x^2 + x - 30 }{ x^2 - 7 x + 6 }.
x
2
−
7
x
+
6
3
x
2
−
13
x
−
18
−
2
=
x
2
−
7
x
+
6
x
2
+
x
−
30
.
Hence, without using a calculator, solve the inequality
3
x
2
−
13
x
−
18
x
2
−
7
x
+
6
<
2
\frac{ 3 x^2 - 13 x - 18 }{ x^2 - 7 x + 6 } < 2
x
2
−
7
x
+
6
3
x
2
−
13
x
−
18
<
2
[5]
Answer
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