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Question 0107a
Equations and Inequalities
2007 Paper 1 Question 1 Variant
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3
x
2
−
18
x
+
21
x
2
−
8
x
+
12
−
2
=
x
2
−
2
x
−
3
x
2
−
8
x
+
12
.
\frac{ 3 x^2 - 18 x + 21 }{ x^2 - 8 x + 12 } - 2=\frac{ x^2 - 2 x - 3 }{ x^2 - 8 x + 12 }.
x
2
−
8
x
+
12
3
x
2
−
18
x
+
21
−
2
=
x
2
−
8
x
+
12
x
2
−
2
x
−
3
.
Hence, without using a calculator, solve the inequality
3
x
2
−
18
x
+
21
x
2
−
8
x
+
12
>
2
\frac{ 3 x^2 - 18 x + 21 }{ x^2 - 8 x + 12 } > 2
x
2
−
8
x
+
12
3
x
2
−
18
x
+
21
>
2
[5]
Answer
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