How do you solve the equation #|4x – 10| + 2 < 8#? Algebra Linear Inequalities and Absolute Value Absolute Value Inequalities 1 Answer Vinícius Ferraz Dec 6, 2015 #1 < x < 4# Explanation: #|4x-10| < 6# #-6 < 4x - 10 < 6# #4 < 4x < 16# #1 < x < 4# 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 1088 views around the world You can reuse this answer Creative Commons License