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Question 0107a
Equations and Inequalities
2007 Paper 1 Question 1 Variant
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−
2
x
2
−
12
x
+
36
x
2
+
3
x
−
18
+
3
=
x
2
−
3
x
−
18
x
2
+
3
x
−
18
.
\frac{ - 2 x^2 - 12 x + 36 }{ x^2 + 3 x - 18 } + 3=\frac{ x^2 - 3 x - 18 }{ x^2 + 3 x - 18 }.
x
2
+
3
x
−
18
−
2
x
2
−
12
x
+
36
+
3
=
x
2
+
3
x
−
18
x
2
−
3
x
−
18
.
Hence, without using a calculator, solve the inequality
−
2
x
2
−
12
x
+
36
x
2
+
3
x
−
18
>
−
3
\frac{ - 2 x^2 - 12 x + 36 }{ x^2 + 3 x - 18 } > -3
x
2
+
3
x
−
18
−
2
x
2
−
12
x
+
36
>
−
3
[5]
Answer
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