Chapter 4 - Proportions, Percents, and Solving Inequalities - Chapter 4 Review Problem Set - Page 184: 66

$n\gt33$

Using the distributive property and properties of inequalities, the solution to the given inequality, $ -4(n-2)-(n-1)\lt-4(n+6) ,$ is \begin{array}{l}\require{cancel} -4n+8-n+1\lt-4n-24 \\\\ -4n-n+4n\lt-24-8-1 \\\\ -n\lt-33 \\\\ n\gt33 .\end{array}