SOLUTION: Solve. (x+14)(x-1)(x+2)>0

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Question 310702: Solve. (x+14)(x-1)(x+2)>0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Break up the number line into 4 regions,
Region 1: (-infinity,-14)
Region 2: (-14,-2)
Region 3: (-2,1)
Region 4: (1,infinity)
Pick a point in each region (not the endpoints) and test the inequality.
If the inequality is true, that region is part of the solution set.
.
.
Region 1, let x=-20
+%28x%2B14%29%28x-1%29%28x%2B2%29%3E0
+%28-20%2B14%29%28-20-1%29%28-20%2B2%29%3E0
%28-6%29%28-21%29%28-18%29%3E0
-2268%3E0
False
.
.
Region 2, let x=-10
+%28x%2B14%29%28x-1%29%28x%2B2%29%3E0
%28-10%2B14%29%28-10-1%29%28-10%2B2%29%3E0
%284%29%28-11%29%28-8%29%3E0
352%3E0
True
.
.
Region 3, let x=0
+%28x%2B14%29%28x-1%29%28x%2B2%29%3E0
%2814%29%28-1%29%282%29%3E0
+-28%3E0
False
.
.
Region 4, let x=2
+%28x%2B14%29%28x-1%29%28x%2B2%29%3E0
%282%2B14%29%282-1%29%282%2B2%29%3E0
%2816%29%281%29%284%29%3E0
64%3E0+
True
So then the solution includes Regions 2 and 4.
(-14,-2)U(1,infinity)