One root of the equation $\cos x - x + \frac{1}{2} = 0$ lies in the interval

  • A
    $\left( 0, \frac{\pi}{2} \right)$
  • B
    $\left( -\frac{\pi}{2}, 0 \right)$
  • C
    $\left( \frac{\pi}{2}, \pi \right)$
  • D
    $\left( \pi, \frac{3\pi}{2} \right)$

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