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 4480 views around the world You can reuse this answer Creative Commons License