SOLUTION: What role of operations that applies when you are solving an equation has a major exception when you are solving an inequality? Why?

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Question 227886: What role of operations that applies when you are solving an equation has a major exception when you are solving an inequality? Why?
Answer by Theo(13342) About Me  (Show Source):
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When you change the signs of an inequality, then the inequality reverses.

a > b becomes -a < -b when you change the signs.
a = b remains -a = -b when you change the signs.
a < b becomes -a > -b when you change the signs.