## Elementary Algebra

$n\gt-\dfrac{17}{2}$
Using the Distributive Property and the properties of inequalities, the solution to the given inequality, $5(n+1)-3(n-1)\gt-9 ,$ is \begin{array}{l}\require{cancel} 5n+5-3n+3\gt-9 \\\\ 5n-3n\gt-9-5-3 \\\\ 2n\gt-17 \\\\ n\gt-\dfrac{17}{2} .\end{array}