Chapter 3 - Solving Inequalities - 3-7 Absolute Value Equations and Inequalities - Practice and Problem-Solving Exercises - Page 211: 20

$-5=m$ or $1=m$

$3=|m+2|\longrightarrow$ definition of absolute value $-3=m+2$ or $3=m+2\longrightarrow$ solve each equation $-3=m+2\longrightarrow$ subtract 2 from each side $-3-2=m+2-2\longrightarrow$ subtract $-5=m$ OR $3=m+2\longrightarrow$ subtract 2 from each side $3-2=m+2-2\longrightarrow$ subtract $1=m$