Which of the following inequalities is equivalent to \(|m+2|<3?\)

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Which of the following inequalities is equivalent to \(|m+2|<3?\)

(A) \(m<5\)
(B) \(m<1\)
(C) \(-5< m < 5\)
(D) \(m > -1\)
(E) \(-5 < m < 1\)

Answer: E

Source: Manhattan GMAT