#### Answer

$n\lt\dfrac{31}{2}$

#### Work Step by Step

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}