How do you solve and graph the compound inequality #5-2x > -3# or #3(6-x) < 2(x-6)#? Algebra Linear Inequalities and Absolute Value Compound Inequalities 1 Answer Vinícius Ferraz Jul 12, 2015 #x \in ]-infty, 4] \cup ]6, +infty[# Explanation: #5+3>2x or (18−3x)<(2x−12)# #4>x or 18+12<5x# #x < 4 or 6 < x# Answer link Related questions How do you solve compound inequalities? What is an example of an inequality that uses "and" and what inequality uses "or"? How do you graph #-40 \le y < 60# on a number line? How do you solve for x in #3x-5 < x + 9 \le 5x + 13 #? How do you solve #9-2x \le 3 or 3x+10 \le 6-x#? How do you solve for b given #6+b<8 or b+6 \ge 6#? How do you graph #x ≥ 4# or #x > -4#? How do you solve the compound inequality #-20≤-6m-2≤58# and graph its solution? How do you graph #-53<9v+1<-26#? How do you graph this inequality: #15<x<30#? See all questions in Compound Inequalities Impact of this question 1479 views around the world You can reuse this answer Creative Commons License