SOLUTION: What is the solution of the inequality x^2<64

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Question 892179: What is the solution of the inequality x^2<64
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First solve x%5E2=64
x%5E2-64=0
%28x-8%29%28x%2B8%29=0
Two solutions:
x-8=0
x=8
and
x%2B8=0
x=-8
Now break up the number line using these two critical numbers and test the inequality.
x%3C-8
-8%3Cx%3C8
x%3E8
.
.
.
x%3C-8
x=-10
%28-10%29%5E2-64%3C0
100-64%3C+0
36%3C0
False, not in the solution region.
.
.
x=0
0%5E2-64%3C0
-64%3C0
True, in the solution region.
.
.
x%3E8
x=10
%2810%29%5E2-64%3C0
100-64%3C+0
36%3C0
False, not in the solution region.
.
.
highlight%28-8%3Cx%3C8%29