Let \( f(x)=\left\{\begin{array}{ll}|x-1|+a, & x1 \\ 2 x+3, & x \ge...

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Let \( f(x)=\left\{\begin{array}{ll}|x-1|+a, & x1 \\ 2 x+3, & x \geq 1\end{array}\right. \). If \( f(x) \) has a local minima at \( x=1 \), then
\( \mathrm{P} \)
(A) \( \quad a \geq 5 \)
(B) \( \quad \) a \( 5 \)
W
(C) \( \quad a0 \)
(D) none of these
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