SOLUTION: why does the inequality sign change when both signs are multiplied or divided by a negative number? Does this happen with equations?

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Question 330708: why does the inequality sign change when both signs are multiplied or divided by a negative number? Does this happen with equations?
Answer by dewasmaharaja(5) About Me  (Show Source):
You can put this solution on YOUR website!
This is because 5 > 2, but when multiplied on both sides by -1, -5 < -2.
This happens with equations also for the exact same reason.