SOLUTION: Why do you flip the sign of an inequality when multiply or dividing by a negative number?

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Question 670550: Why do you flip the sign of an inequality when multiply or dividing by a negative number?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Why do you flip the sign of an inequality when multiply or dividing by a negative number?
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It gives the correct result.
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eg
-x > 1
x < -1
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Another method:
-x > 1
Add x
0 > x + 1
Subtract 1
-1 > x
x < -1 same answer