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Question 0107a
Equations and Inequalities
2007 Paper 1 Question 1 Variant
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−
2
x
2
−
22
x
+
30
x
2
+
5
x
−
6
+
3
=
x
2
−
7
x
+
12
x
2
+
5
x
−
6
.
\frac{ - 2 x^2 - 22 x + 30 }{ x^2 + 5 x - 6 } + 3=\frac{ x^2 - 7 x + 12 }{ x^2 + 5 x - 6 }.
x
2
+
5
x
−
6
−
2
x
2
−
22
x
+
30
+
3
=
x
2
+
5
x
−
6
x
2
−
7
x
+
12
.
Hence, without using a calculator, solve the inequality
−
2
x
2
−
22
x
+
30
x
2
+
5
x
−
6
<
−
3
\frac{ - 2 x^2 - 22 x + 30 }{ x^2 + 5 x - 6 } < -3
x
2
+
5
x
−
6
−
2
x
2
−
22
x
+
30
<
−
3
[5]
Answer
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