Posted by Amy~ on Wednesday, September 29, 2010 at 9:42pm.
Your quadratic inequality has TWO solutions: x < -4 AND x > 3.
The 2nd arrangement where you have x in the center of the inequality is normally used with compound inequalities.
If you look at the graph, it would be clear that the part of the curve which is above the x-axis is in two separate parts, therefore the answer is
x<-4 and x>3.
On the other hand if the question had been x^(2) +x -12 < 0 , then the solution will be continuous on the number line, namely -4<x<3.
See graph:
http://img529.imageshack.us/img529/2064/1285810976.png
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