SOLUTION: If a < b, then -a > -b. Why?

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Question 4282: If a < b, then -a > -b. Why?
Found 2 solutions by Earlsdon, ntnk:
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
This has to do with a rule in solving inequalities. When you multiply or divide by a negative, you reverse the order of the inequality.
Thus: a < b Multiply both sides by -1, reverse the order.
-a > -b

Answer by ntnk(54) About Me  (Show Source):
You can put this solution on YOUR website!
To help understand this, think about an example: 5 < 8 and -5 > -8.
Whenever you multiply both sides of an inequality by a negative number, you always change the sign.

Solved By: NtNk