## Elementary Algebra

$n\lt\dfrac{31}{2}$
Using the Distributive Property and the properties of inequalities, the solution to the given inequality, $4(n-5)-2(n-1)\lt13 ,$ is \begin{array}{l}\require{cancel} 4n-20-2n+2\lt13 \\\\ 4n-2n\lt13+20-2 \\\\ 2n\lt31 \\\\ n\lt\dfrac{31}{2} .\end{array}