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Mathematics
Problem
Let
p
(
x
)
=
∣
x
2
−
5
x
+
4
∣
p(x)=|x^{2}-5x+4|
p
(
x
)
=
∣
x
2
−
5
x
+
4∣
. Which of the following lists ALL intervals on which
p
p
p
is increasing? a)
(
−
∞
,
1
)
∪
(
4
,
∞
)
(-\infty,1)\cup(4,\infty)
(
−
∞
,
1
)
∪
(
4
,
∞
)
b)
(
5
2
,
∞
)
(\tfrac{5}{2},\infty)
(
2
5
,
∞
)
c)
(
1
,
5
2
)
∪
(
4
,
∞
)
(1,\tfrac{5}{2})\cup(4,\infty)
(
1
,
2
5
)
∪
(
4
,
∞
)
d)
(
5
2
,
4
)
(\tfrac{5}{2},4)
(
2
5
,
4
)
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