Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$2$
Using the order of operations on real numbers and the concepts of the absolute value of a number, the given expression, $3-|2-7+4| ,$ evaluates to \begin{array}{l}\require{cancel} 3-|-5+4| \\\\= 3-|-1| \\\\= 3-(1) \\\\= 3-1 \\\\= 2 .\end{array}