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Mathematics
Problem
Determine all real numbers
x
x
x
that satisfy
h
(
x
)
=
1
h(x)=1
h
(
x
)
=
1
, where
h
(
x
)
=
⌊
x
2
⌋
+
sgn
(
3
−
x
)
h(x)=\left\lfloor\dfrac{x}{2}\right\rfloor+\operatorname{sgn}(3-x)
h
(
x
)
=
⌊
2
x
⌋
+
sgn
(
3
−
x
)
.
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