How do you graph and solve #|x + 2| ≤ 3#? Algebra Linear Inequalities and Absolute Value Absolute Value Inequalities 1 Answer Vinícius Ferraz Jul 3, 2018 #x in [-5, 1]# Explanation: #-3 <= x + 2 <= 3# #-3 - 2 <= x <= 3 - 2# #-5 <= x <= 1# Answer link Related questions How do you solve absolute value inequalities? When is a solution "all real numbers" when solving absolute value inequalities? How do you solve #|a+1|\le 4#? How do you solve #|-6t+3|+9 \ge 18#? How do you graph #|7x| \ge 21#? Are all absolute value inequalities going to turn into compound inequalities? How do you solve for x given #|\frac{2x}{7}+9 | > frac{5}{7}#? How do you solve #abs(2x-3)<=4#? How do you solve #abs(2-x)>abs(x+1)#? How do you solve this absolute-value inequality #6abs(2x + 5 )> 66#? See all questions in Absolute Value Inequalities Impact of this question 1427 views around the world You can reuse this answer Creative Commons License