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Problem
Problem
The equation
∣
2
a
x
−
3
∣
+
∣
a
x
+
1
∣
+
∣
5
−
a
x
∣
=
1
2
|2ax - 3| + |ax + 1| + |5 - ax| = \frac{1}{2}
∣2
a
x
−
3∣
+
∣
a
x
+
1∣
+
∣5
−
a
x
∣
=
2
1
possesses a. infinite number of real solutions for some
a
∈
R
a \in R
a
∈
R
b. finitely many real solutions for some
a
∈
R
a \in R
a
∈
R
c. no real solutions for some
a
∈
R
a \in R
a
∈
R
d. no real solutions for all
a
∈
R
a \in R
a
∈
R
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