Let [x] denote the greatest integer ≤lex...

Let `[x]` denote the greatest integer `≤lex,` where `x``in R.` If the domain of the real valued function is `f(x)=sqrt((|[x]|-2)/(|[x]|-3))` is `(–oo, a) uu [b, c) u [4, oo),` `a lt b lt c,` then the value of `a + b + c` is

A

`8`

B

`1`

C

`-2`

D

`-3`

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