Given that $4^{th}$ term in the expansion of ${\left( {2 + \frac{3}{8}x} \right)^{10}}$ has the maximum numerical value, the range of value of $x$ for which this will be true is given by

  • A

    $ - \frac{{64}}{{21}} < x < - 2$

  • B

    $ - \frac{{64}}{{21}} < x < 2$

  • C

    $\frac{{64}}{{21}} < x < 4$

  • D

    None of these

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