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Question 0116
Equations and Inequalities
2016 Paper 1 Question 1 Variant
Question
Generate new
(a)
Express
7
x
2
+
19
x
+
22
x
+
5
−
(
4
x
+
4
)
{\displaystyle \frac{ 7 x^2 + 19 x + 22 }{ x + 5 } - (4 x + 4)}
x
+
5
7
x
2
+
19
x
+
22
−
(
4
x
+
4
)
as a single simplified fraction.
[2]
(b)
Hence without using a calculator, solve the inequality
7
x
2
+
19
x
+
22
x
+
5
>
4
x
+
4
\frac{ 7 x^2 + 19 x + 22 }{ x + 5 } > 4 x + 4
x
+
5
7
x
2
+
19
x
+
22
>
4
x
+
4
[3]
Answer
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