SOLUTION: how would i sovle a problem like |x|=2??? and |1- x/3 | ≥ 2/3

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Question 61986: how would i sovle a problem like
|x|=2???
and

|1- x/3 | ≥ 2/3
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
| x | = 2
sqrt(( x )^2) = 2
( x )^2 = 4
x = +- 2
x = 2 and x = -2
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Csqrt%28x%5E2%29%2C2%29
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|1 - x/3| >= 2/3
sqrt( (1 - x/3)^2 ) >= 2/3
(1 - x/3)^2 >= 4/9
1 - x/3 >= 2/3 or 1 - x/3 <= -2/3
- x/3 >= -1/3 or - x/3 <= -5/3
x <= 1 or x >= 5
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Csqrt%28%281+-+x%2F3%29%5E2%29%2C2%2F3%29