How do you solve and graph 2x > -6 and x - 4 < 3? Algebra Linear Inequalities and Absolute Value Compound Inequalities 1 Answer MeneerNask May 16, 2015 First reduce both inequalities: (1) 2x> -6->x> -3 (divided both sides by 2) and (2) x-4<3->x<7 (added 4 to both sides) Summary: -3 < x<7 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 1534 views around the world You can reuse this answer Creative Commons License