How do you graph and solve #abs (5+x) <=20#? Algebra Linear Inequalities and Absolute Value Absolute Value Inequalities 1 Answer A. S. Adikesavan Apr 17, 2016 #x in [-25, 15]# In bold face,show the segment of the x-axis, representing the closed interval [-25, 15]. Here, #|5+x|<=20# Explanation: #|5+x|<=20# is the combined inequality for the pair #+-(5+x)<=20#. Separately, these are #x<=15 and x>=-25#. 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 1546 views around the world You can reuse this answer Creative Commons License