113- If $f(x) = \text{Max}\{|2x|, |x+1|\}$, then what is the minimum value of $f(x)$?
(1) $\dfrac{1}{3}$ (2) $\dfrac{2}{3}$ (3) $\dfrac{4}{3}$ (4) $2$
113- If $f(x) = \text{Max}\{|2x|, |x+1|\}$, then what is the minimum value of $f(x)$?

(1) $\dfrac{1}{3}$ \hfill (2) $\dfrac{2}{3}$ \hfill (3) $\dfrac{4}{3}$ \hfill (4) $2$