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Question 0107a
Equations and Inequalities
2007 Paper 1 Question 1 Variant
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3
x
2
−
15
x
−
36
x
2
−
4
x
−
21
−
2
=
x
2
−
7
x
+
6
x
2
−
4
x
−
21
.
\frac{ 3 x^2 - 15 x - 36 }{ x^2 - 4 x - 21 } - 2=\frac{ x^2 - 7 x + 6 }{ x^2 - 4 x - 21 }.
x
2
−
4
x
−
21
3
x
2
−
15
x
−
36
−
2
=
x
2
−
4
x
−
21
x
2
−
7
x
+
6
.
Hence, without using a calculator, solve the inequality
3
x
2
−
15
x
−
36
x
2
−
4
x
−
21
>
2
\frac{ 3 x^2 - 15 x - 36 }{ x^2 - 4 x - 21 } > 2
x
2
−
4
x
−
21
3
x
2
−
15
x
−
36
>
2
[5]
Answer
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