Ask Dr. Math Inequalities and Negative Numbers

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 Inequalities and Negative Numbers, a selection of answers from the Dr. Math archives. Reversing the Inequality Symbol Why do we reverse the inequality symbol when dividing/multiplying by a negative number? Reversing the Inequality Why does the inequality sign reverse when you multiply by a negative number? Negatives and Inequalities Why when we multiply or divide an inequality by a negative number do we reverse the inequality sign? Inequalities and Negative Numbers When multiplying both sides of an inequality by a negative number, why does the inequality sign change? Why Flip the Inequality Sign? Please tell me why you flip the inequality sign when dividing by a negative number. Inequality Sign Switch How do you solve the inequality (-1/8)w < 3 ? Adding and Subtracting Inequalities Can you explain the rules? What if two inequalities are in the same or opposite directions?