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Problem
Problem
If the inequality
m
x
2
+
3
x
+
4
x
2
+
2
x
+
2
<
5
\frac{mx^2 + 3x + 4}{x^2 + 2x + 2} < 5
x
2
+
2
x
+
2
m
x
2
+
3
x
+
4
<
5
is satisfied for all
x
∈
R
x \in R
x
∈
R
then a.
1
<
m
<
5
1 < m < 5
1
<
m
<
5
b.
−
1
<
m
<
5
-1 < m < 5
−
1
<
m
<
5
c.
1
<
m
<
6
1 < m < 6
1
<
m
<
6
d.
m
<
71
24
m < \frac{71}{24}
m
<
24
71
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