SOLUTION: What is the answer to the following: (x+11)(x-2)x+5)> 0

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Question 309285: What is the answer to the following:
(x+11)(x-2)x+5)> 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,-11)
Region 2:(-11,-5)
Region 3:(-5,2)
Region 4:(2,infinity)
Pick any point inside the region and test the inequality.
.
.
Region 1: Let x=-15.
%28-4%29%28-17%29%28-10%29%3E0
-680%3E0
False.
.
.
Region 2: Let x=-8.
%283%29%28-10%29%28-3%29%3E0
90%3E0
True.
.
.
Region 3: Let x=0.
%2811%29%28-2%29%285%29%3E0
-110%3E0
False.
.
.
Region 4: Let x=3.
%2814%29%281%29%288%29%3E0
+112%3E0+
True.
.
.
So the solution region is the union of Region 2 and Region 4.
(-11,-5) U (2,infinity)