How do you solve #|5x - 8| > 12#? Algebra Linear Inequalities and Absolute Value Absolute Value Inequalities 1 Answer Binayaka C. Jul 17, 2016 #x< -4/5 or x>4# In interval notation x is expressed as #(-oo,4/5) uuu (4,oo)# Explanation: #|5x-8| > 12 :. 5x-8>12 or 5x-8< -12 :. 5x>20 :. x>4 or 5x < -4 :. x < -4/5# In interval notation x is expressed as #(-oo,4/5) uuu (4,oo)#[Ans] 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 1822 views around the world You can reuse this answer Creative Commons License