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Question 0107a
Equations and Inequalities
2007 Paper 1 Question 1 Variant
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3
x
2
+
18
x
+
39
x
2
+
10
x
+
21
−
2
=
x
2
−
2
x
−
3
x
2
+
10
x
+
21
.
\frac{ 3 x^2 + 18 x + 39 }{ x^2 + 10 x + 21 } - 2=\frac{ x^2 - 2 x - 3 }{ x^2 + 10 x + 21 }.
x
2
+
10
x
+
21
3
x
2
+
18
x
+
39
−
2
=
x
2
+
10
x
+
21
x
2
−
2
x
−
3
.
Hence, without using a calculator, solve the inequality
3
x
2
+
18
x
+
39
x
2
+
10
x
+
21
<
2
\frac{ 3 x^2 + 18 x + 39 }{ x^2 + 10 x + 21 } < 2
x
2
+
10
x
+
21
3
x
2
+
18
x
+
39
<
2
[5]
Answer
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