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Let \([x]\) denote the greatest integer \(\leq x\), where \(x \in R\). If the domain of the real valued function \(f\lef…

Q1

Let \([x]\) denote the greatest integer \(\leq x\), where \(x \in R\). If the domain of the real valued function \(f\left(x\right)=\sqrt{\frac{|[x]|-2}{|[x]|-3}}\) is \((-\infty, a) \cup[b, c) \cup[4, \infty), a<b<c\), then the value of \(a+b+c\) is:

a

\(-3\)

b

\(8\)

c

\(-2\)

d

\(1\)

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