How do you solve #abs(y-2)>7#? Algebra Linear Inequalities and Absolute Value Absolute Value Inequalities 1 Answer ali ergin Mar 30, 2017 #"Answer "y<-5" or "y>9# Explanation: #|y-2|>7# #"if "+(y-2)>7" than "y>7+2" , "y>9# #"if "-(y-2)>7" than "-y+2>7" , "-y>7-2# #-y>5" , "y<-5# 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 1227 views around the world You can reuse this answer Creative Commons License