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Mathematics
Problem
Solve the compound inequality
1
2
(
4
x
−
6
)
<
3
x
+
1
≤
x
+
7
\tfrac{1}{2}(4x-6) < 3x+1 \le x+7
2
1
(
4
x
−
6
)
<
3
x
+
1
≤
x
+
7
and choose the correct interval representation of its solution set. a)
(
−
∞
,
3
]
(-\infty,\,3]
(
−
∞
,
3
]
b)
(
−
4
,
3
]
(-4,\,3]
(
−
4
,
3
]
c)
[
−
4
,
3
)
[-4,\,3)
[
−
4
,
3
)
d)
(
−
4
,
4
]
(-4,\,4]
(
−
4
,
4
]
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