A.\(\left\{ \begin{array}{l}a > b\\a > c\end{array} \right. \Rightarrow a > \dfrac{{b + c}}{2}\)
B.\(\left\{ \begin{array}{l}a > b\\a > c\end{array} \right. \Rightarrow a - c > b - a\)
C.\(a > b \Rightarrow a - c > b - c\)
D.\(a > b \Rightarrow c - a > c - b\)