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Gaokao Math Practice Question

已知 $a, b \in \mathbf{R}$, 若对任意 $x \in \mathbf{R}, a|x-b|+|x-4|-|2 x-5| \geq 0$, 则 ($\qquad$)

  1. A.$a \leq 1, b \geq 3$
  2. B.$a \leq 1, b \leq 3$
  3. C.$a \geq 1, b \geq 3$
  4. D.$a \geq 1, b \leq 3$

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