SOLUTION: 2. Solve (x+19)(x-17)(x+17)>0 the solution set is {x|____} or Solution is all real numbers or no solution

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Question 310608: 2. Solve (x+19)(x-17)(x+17)>0
the solution set is {x|____} or
Solution is all real numbers or no solution
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,-19)
Region 2: (-19,-17)
Region 3: (-17,17)
Region 4: (17,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%2B19%29%28x-17%29%28x%2B17%29%3E0
%28-20%2B19%29%28-20-17%29%28-20%2B17%29%3E0
%28-1%29%28-37%29%28-3%29%3E0
-111%3E0
False
.
.
Region 2, let x=-18
%28x%2B19%29%28x-17%29%28x%2B17%29%3E0
%28-18%2B19%29%28-18-17%29%28-18%2B17%29%3E0
%281%29%28-35%29%28-1%29%3E0
35%3E0
True
.
.
Region 3, let x=0
%28x%2B19%29%28x-17%29%28x%2B17%29%3E0
%2819%29%28-17%29%2817%29%3E0
+-5491%3E0
False
.
.
Region 4, let x=20
%28x%2B19%29%28x-17%29%28x%2B17%29%3E0
%2820%2B19%29%2820-17%29%2820%2B17%29%3E0
%2839%29%283%29%2837%29%3E0
4329%3E0+
True
So then the solution includes Regions 2 and 4.
(-19,-17)U(17,infinity)