Posted by **PLEASE HELP!!** on Wednesday, January 5, 2011 at 9:48pm.

The rule for multplying and dividing both sides of an inequality do not meantion zero. Explain why??

- Math -
**MathMate**, Wednesday, January 5, 2011 at 9:55pm
In general, we do not multiply or divide each side of an equality by zero, as it could give erroneous results. So the same applies to inequalities.

For example:

A=B

Multiply by A:

A*A = A*B

Subtract B²:

A²-B² = AB - B²

Factor each side:

(A+B)(A-B) = B(A-B)

Cancel out (A-B)

A+B = B

How does the fallacy work: we divided each side by (A-B) which is zero!

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