Easy but confusing

Algebra Level 3

Find the solution set to 2x1<5\left \lfloor{2x-1}\right \rfloor<5

Note:
x\left \lfloor{x}\right \rfloor represents greatest integer not exceeding x.
xRx\in\mathbb{R}
(v,h)(v,h) is an interval representing all real numbers between v and h excluding v and h.
[v,h][v,h] is an interval representing all real numbers between v and h including v and h.
(v,h](v,h] is an interval representing all real numbers between v and h excluding v .
[v,h)[v,h) is an interval representing all real numbers between v and h excluding h.

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