If \(|-3x+1|<7,\) then which of the following represents all possible values of \(x?\)

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If \(|-3x+1|<7,\) then which of the following represents all possible values of \(x?\)

A. \(-2<x\)

B. \(-2<x<\dfrac83\)

C. \(-2\le x\le \dfrac83\)

D. \(x<-2\) or \(x>\dfrac83\)

E. \(x\le -2\) or \(x\ge \dfrac83\)

Answer: B

Source: Princeton Review