SOLUTION: how am I to solve an inequality of this type(x+2)(x+2)/(x+1)<0 using cases

Question 12352: how am I to solve an inequality of this type(x+2)(x+2)/(x+1)<0 using cases
Answer by khwang(438) (Show Source): You can put this solution on YOUR website!

is
Hence,the numberator and the denominator are of different sign.
But for all real x.

The denomiator must be negative and the nmerator
cannot be 0.

So, implies

We obtain the solution set
In the interval notaion: (-oo,-2) U (-2,-1).
The above is the shortest way to solve this kind of questions.
Try to think about it. [In fact, I can get the answer by direct view
in a second. ]
If you really want to consider cases
Look the sign of the given on the intervals
(-oo,-2),(-2,-1), (-1,+oo). You will see.

-----------*-----*----------------------
-oo -2 -1 +oo

Kenny

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