How do you graph and solve #|5x+3|>2#? Algebra Linear Inequalities and Absolute Value Absolute Value Inequalities 1 Answer Yonas Yohannes Jan 28, 2016 #x > -1/5 and x < -1# Explanation: Given #|f(x) | > k, x : in RR # #f(x) > k# and #f(x) < -k# Now #f(x) = 5x+3# and #k = 2# #5x+3 > 2# and #5x+3 < -2# #x > -1/5 and x < -1# 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 1110 views around the world You can reuse this answer Creative Commons License