How do you solve the inequality #3 | x + 5 | <21 #? Algebra Linear Inequalities and Absolute Value Absolute Value Inequalities 1 Answer VinÃcius Ferraz Dec 5, 2015 #x in (-12, 2) subset RR# Explanation: #| x + 5| < 7# #-7 < x + 5 < 7# // Subtract 5. #-12 < x < 2# 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 1259 views around the world You can reuse this answer Creative Commons License