Math Forum - Ask Dr. Math Archives: Inequalities and Negative Numbers

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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?