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Solve the inequality

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1 Answer

Solving an inequality is just like solving equations except for one important rule:

IF YOU MULTIPLY OR DIVIDE BY A NEGATIVE, CHANGE THE DIRECTION OF THE INEQUALITY!

So, proceed as if you are solving for a in this problem.

Rearrange terms to get 3a - 6a + 3 > 15

Combine like terms to get -3a + 3 > 15

Subtract 3 from both sides to get -3a > 12

DIVIDE BY -3 on both sides to get a < 4.   

Do the algebra and apply the special rule only when you multiply or divide by a negative.