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Question 0107a
Equations and Inequalities
2007 Paper 1 Question 1 Variant
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−
2
x
2
−
11
x
+
75
x
2
+
7
x
−
18
+
3
=
x
2
+
10
x
+
21
x
2
+
7
x
−
18
.
\frac{ - 2 x^2 - 11 x + 75 }{ x^2 + 7 x - 18 } + 3=\frac{ x^2 + 10 x + 21 }{ x^2 + 7 x - 18 }.
x
2
+
7
x
−
18
−
2
x
2
−
11
x
+
75
+
3
=
x
2
+
7
x
−
18
x
2
+
10
x
+
21
.
Hence, without using a calculator, solve the inequality
−
2
x
2
−
11
x
+
75
x
2
+
7
x
−
18
<
−
3
\frac{ - 2 x^2 - 11 x + 75 }{ x^2 + 7 x - 18 } < -3
x
2
+
7
x
−
18
−
2
x
2
−
11
x
+
75
<
−
3
[5]
Answer
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