If $z$ is a complex number such that $-\pi /2\le$  $\arg z\le \pi /2$ then which of the following inequality is true.

• A

  $|z-\overline{z}|\le \left|z\right||\arg (z)-\arg (\overline{z}\left)\right|$

• B

  $|z-\overline{z}|\le |\arg (z)-\arg (\overline{z}\left)\right|$

• C

  $|z-\overline{z}|>\left|z\right||\arg (z)-\arg (\overline{z}\left)\right|$

• D

  None of these