Chapter R - Elementary Algebra Review - R.1 Introduction to Algebraic Expressions - R.1 Exercise Set - Page 938: 50

$2$

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}