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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?

Return to
Middle School Algebra
Middle School Negative Numbers
High School Algebra
High School Negative Numbers
Index of Selected Answers to Common Questions

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