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Question 0107a
Equations and Inequalities
2007 Paper 1 Question 1 Variant
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−
2
x
2
−
37
x
−
104
x
2
+
11
x
+
24
+
3
=
x
2
−
4
x
−
32
x
2
+
11
x
+
24
.
\frac{ - 2 x^2 - 37 x - 104 }{ x^2 + 11 x + 24 } + 3=\frac{ x^2 - 4 x - 32 }{ x^2 + 11 x + 24 }.
x
2
+
11
x
+
24
−
2
x
2
−
37
x
−
104
+
3
=
x
2
+
11
x
+
24
x
2
−
4
x
−
32
.
Hence, without using a calculator, solve the inequality
−
2
x
2
−
37
x
−
104
x
2
+
11
x
+
24
<
−
3
\frac{ - 2 x^2 - 37 x - 104 }{ x^2 + 11 x + 24 } < -3
x
2
+
11
x
+
24
−
2
x
2
−
37
x
−
104
<
−
3
[5]
Answer
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