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Gaokao Math Practice Question

若实数 $x, y$ 满足约束条件 $\left\{\begin{array}{l}x+1 \geq 0 \\ x-y \leq 0 \\ 2 x+3 y-1 \leq0\end{array}\right.$, 则 $z=x-\frac{1}{2} y$ 的最小值是($\quad$)

  1. A.$-2$
  2. B.$-\frac{3}{2}$
  3. C.$-\frac{1}{2}$
  4. D.$\frac{1}{10}$

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