How do you solve #|x - 7| >10#? Algebra Linear Inequalities and Absolute Value Absolute Value Inequalities 1 Answer Binayaka C. Jun 29, 2016 #x>17 or x< -3# In interval notation: #( - oo , -3) uu(17, oo)# Explanation: #|x-7|>10 :.# #x-7 >10 or x-7 < -10 :. x>17 or x< -3# In interval notation the solution is #( - oo , -3) uu(17, oo)#[Ans] 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 1984 views around the world You can reuse this answer Creative Commons License