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Question 0107a
Equations and Inequalities
2007 Paper 1 Question 1 Variant
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4
x
2
+
19
x
−
77
x
2
+
6
x
−
7
−
3
=
x
2
+
x
−
56
x
2
+
6
x
−
7
.
\frac{ 4 x^2 + 19 x - 77 }{ x^2 + 6 x - 7 } - 3=\frac{ x^2 + x - 56 }{ x^2 + 6 x - 7 }.
x
2
+
6
x
−
7
4
x
2
+
19
x
−
77
−
3
=
x
2
+
6
x
−
7
x
2
+
x
−
56
.
Hence, without using a calculator, solve the inequality
4
x
2
+
19
x
−
77
x
2
+
6
x
−
7
>
3
\frac{ 4 x^2 + 19 x - 77 }{ x^2 + 6 x - 7 } > 3
x
2
+
6
x
−
7
4
x
2
+
19
x
−
77
>
3
[5]
Answer
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