SOLUTION: Solve the inequality and graph the solution set on a number line. (x+6)(x−5)2 > 0

Algebra ->  Inequalities -> SOLUTION: Solve the inequality and graph the solution set on a number line. (x+6)(x−5)2 > 0      Log On


   

Question 1071336: Solve the inequality and graph the solution set on a number line.
(x+6)(x−5)2 > 0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Separate the number line into three regions,
Region 1: x%3C-6
Region 2: -6%3Cx%3C5
Region 3:x%3E5
Test the inequality in each region to see if it's part of the solution.
Region 1
x=-7
%28-7%2B6%29%28-7-5%29%5E2%3E0
-1%28144%29%3E0
-144%3E0
False, not part of the solution.
.
.
.
Region 2
x=0
%280%2B6%29%280-5%29%5E2%3E0
6%2825%29%3E0
150%3E0
True, part of the solution.
.
.
.
Region 3
x=6
%286%2B6%29%286-5%29%5E2%3E0
12%281%29%3E0
12%3E0
True, part of the solution.
.
.
.
So then the solution region is,
-6%3Cx%3C5Ux%3E5