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