Question 4283: 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 rapaljer(4671)   (Show Source):
You can put this solution on YOUR website! When you multiply or divide both sides of an inequality by a negative number, you must reverse the direction of the inequality. For example, we all agree that
-5 < 12
However, if you multiply both sides of this inequality by -1 you get
(-1)*(-5) compared with (-1)*12
5 compared with -12.
Do you see that what was negative on the left side became positive, and what was positive on the right side became negative. That's an example of what always happens. It always changes the direction of the inequality, so now if:
-5 < 12
5 > -12.
R^2 at SCC
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