Let [ x ] denote the greatest integer ≤ x, where x R. If the domain of the real valued function f(x) = √((| [x] | - 2)/(| [x] | - 3)) is (- ∞, a) ] [b, c) [4, ∞), a < b < c, then the value of a + b + c is:

Sets, Relations and Functions: JEE Main 2021 Mathematics question

JEE Main 2021 · 20 Jul, Morning shift · Q3844

JEE Main 202120 Jul, Morning shiftMathematicsMediumSets, Relations and Functions168× since 2002

Let [ x ] denote the greatest integer

\le

x, where x

\in

R. If the domain of the real valued function

f(x) = \sqrt {{{\left| {[x]} \right| - 2} \over {\left| {[x]} \right| - 3}}}

is (

-

\infty

, a)

]\cup

[b, c)

\cup

[4,

\infty

), a < b < c, then the value of a + b + c is :