How do you solve and write the following in interval notation: #| 6x - 5 |< 3#? Algebra Linear Inequalities and Absolute Value Absolute Value Inequalities 1 Answer A. S. Adikesavan May 30, 2016 #1/3 < x<4/3#. Explanation: #|6x-5|<3# is the combined inequality to the pair #6x-5<3 and -(6x-5)<3#. Separately, these are # 1/3 < x < 4/3 #. 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 1231 views around the world You can reuse this answer Creative Commons License