How do you solve #-2x > 1/9#? Algebra Linear Inequalities and Absolute Value Inequalities with Multiplication and Division 1 Answer Meave60 Jul 8, 2015 Solve for #x# as if you were solving an equation, except that when you divide by a negative number, the inequality is reversed. Explanation: #-2x>1/9# Divide both sides of the inequality by #-2#. This will reverse the inequality. #x<1/9-:-2/1# = #x< 1/9*-1/2# = #x<-1/18# Answer link Related questions How do you solve inequalities using multiplication and division? How do you solve two step inequalities? Why do you change the inequality symbol when you multiply or divide by a negative? How do you solve for x in #-10x > 250#? How do you solve and graph #\frac{x}{5} > - \frac{3}{10}#? What is the solution to #\frac{x}{-7} \ge 9# written in set notation? Why do you not change the inequality sign when solving #9x > - \frac{3}{4}#? How do you graph #\frac{k}{-14} \le 1# on a number line? How do you graph #8d < 24#? How do you graph #-8d < 24#? See all questions in Inequalities with Multiplication and Division Impact of this question 1543 views around the world You can reuse this answer Creative Commons License