Question 52882: If a < b, then -a > -b Why?
Answer by funmath(2933)   (Show Source):
You can put this solution on YOUR website! I'm having to use extra parenthesis because the computer erases part of the inequality if I don't.
If (a)<(b), then (-a)>(-b) because whenever you multiply or divide by a negative number you flip the inequality sign. If we multiply each side of the inequality (a)< (b) by -1 the following happens:
(a)<(b)
(-1)a>(-1)b
-a>-b
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