How do you graph and solve #|x-3| >5#? Algebra Linear Inequalities and Absolute Value Absolute Value Inequalities 1 Answer ali ergin Mar 25, 2017 #"Answer :"{x<-2" , "x>8}# Explanation: #|x-3|>5# #"if " -(x-3)>5" then "-x+3>5" , "-x>5-3# #-x>2# #x<-2# #"if "+(x-3)>5" than "x-3>5" , "x>5+3# #x>8# 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 3919 views around the world You can reuse this answer Creative Commons License