How do you graph and solve #|12 – x| <4#? Algebra Linear Inequalities and Absolute Value Absolute Value Inequalities 1 Answer Deepak G. Aug 13, 2016 #8< x <16# Explanation: #(12-x)<4# or #x>12-4# or #x>8# Now consider #12-x> -4# or #x<12+4# or #x<16# Therefore we can write #8< x <16# 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 1105 views around the world You can reuse this answer Creative Commons License