a) \( - 9 < x < 3 \Rightarrow x = \left\{ { - 8; - 7; - 6; - 5; - 4; - 3; - 2; - 1;0;1;2;3} \right\}\)
\(\begin{array}{l} \Rightarrow S = - 8 - 7 - 6 - 5 - 4 - 3 - 2 - 1 + 0 + 1 + 2 + 3\\\,\,\,\,\,\,\,\,\,\,\, = \, - 8 - 7 - 6 - 5 - 4\\\,\,\,\,\,\,\,\,\,\,\, = - 30\end{array}\)
\(\begin{array}{l}b)\, - \left| { - 5} \right| < x < 10 \Leftrightarrow - 5 < x < 10\\ \Rightarrow S = 6 + 7 + 8 + 9 = 30\end{array}\)
\(\begin{array}{l}c)\,\left| x \right| < 10 \Rightarrow x = \left\{ { - 9; - 8; - 7;....;7;8;9} \right\}\\ \Rightarrow S = - 9 - 8 - ... - 1 + 0 + 1 + ... + 8 + 9\\\,\,\,\,\,\,\,\,\,\,\, = 0\end{array}\)
