a) Để \(1983\left(x-7\right)>0\) thì \(x-7>0\).
\(\Rightarrow x>0+7\Rightarrow x>7\)
\(\Rightarrow x\in\left\{8;9;10;11;12;...\right\}\)
b) Để \(\left(-2010\right)\left(x+3\right)>0\) thì \(x+3< 0\).
\(\Rightarrow x< 0-3\Rightarrow x< \left(-3\right)\)
\(\Rightarrow x\in\left\{-4;-5;-6;-7;-8;...\right\}\)