How do you solve 4x≤12 or -7x≥21? Algebra Linear Inequalities and Absolute Value Compound Inequalities 1 Answer Alan P. Jul 22, 2015 #x<= 3# Explanation: #4x<=12# #rArr x <=3# #-7x>=21# #rArr x<= -3# All solutions for #-7x>=21# are included in solutions for #4x<=12# So only the restriction #x<=3# placed by #4x<=12# is significant. 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 4249 views around the world You can reuse this answer Creative Commons License