Cho \(f\left( x \right) = \frac{{\left( {x + 1} \right)\left( {2 - x} \right)}}{{2x - 6}}\) .

A. \(f\left( x \right) \ge 0 \Leftrightarrow x \in \left( { - \infty ; - 1} \right] \cup \left[ {2;3} \right]\)

B. \(f\left( x \right) < 0 \Leftrightarrow x \in \left( { - 1;2} \right) \cup \left( {3; + \infty } \right)\)

C. \(f\left( x \right) > 0 \Leftrightarrow x \in \left( { - \infty ; - 1} \right)\)

D. \(f\left( x \right) < 0 \Leftrightarrow x \in \left( {3; + \infty } \right)\)