SOLUTION: When solving inequalities and you reverse theinequality sign for negative answers, why is that?

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Question 21280: When solving inequalities and you reverse theinequality sign for negative answers, why is that?
Answer by Photonjohn(42) About Me  (Show Source):
You can put this solution on YOUR website!
What they are saying is, for instance,
if -X > 7
then you want X expressed in a positive variable,
then X < -7
You have multipled each side of the inequality by -1 and reversed the inequality.
In this case, X is a negative number always less than -7.
This is easier than thinking about the original equation of -X > 7.
Hope this helps.