Originally Posted by

**Archie Meade** You need to bear in mind that 2>1 but -2<-1.

This scenario can occur if you multiply or divide both sides of an inequality by a negative number.

Hence, for a variable (such as x) in the denomimator, you must account for the possibility

of the denominator being negative.

Then, if you multiply both sides by the negative denominator, you must reverse the inequality sign.

If the denominator is positive, no reversal is necessary.

But you have to account for these cases.

The method I gave avoids this.