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Question 0107a
Equations and Inequalities
2007 Paper 1 Question 1 Variant
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−
x
2
−
20
x
−
31
x
2
+
9
x
+
8
+
2
=
x
2
−
2
x
−
15
x
2
+
9
x
+
8
.
\frac{ - x^2 - 20 x - 31 }{ x^2 + 9 x + 8 } + 2=\frac{ x^2 - 2 x - 15 }{ x^2 + 9 x + 8 }.
x
2
+
9
x
+
8
−
x
2
−
20
x
−
31
+
2
=
x
2
+
9
x
+
8
x
2
−
2
x
−
15
.
Hence, without using a calculator, solve the inequality
−
x
2
−
20
x
−
31
x
2
+
9
x
+
8
<
−
2
\frac{ - x^2 - 20 x - 31 }{ x^2 + 9 x + 8 } < -2
x
2
+
9
x
+
8
−
x
2
−
20
x
−
31
<
−
2
[5]
Answer
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