SOLUTION: My web homework for the beginning of this semester is an algebra review. I have not had algebra in 3 or 4 years, which is the reason I need a little refresher. So here's the proble

Algebra ->  Inequalities -> SOLUTION: My web homework for the beginning of this semester is an algebra review. I have not had algebra in 3 or 4 years, which is the reason I need a little refresher. So here's the proble      Log On


   

Question 66747: My web homework for the beginning of this semester is an algebra review. I have not had algebra in 3 or 4 years, which is the reason I need a little refresher. So here's the problem....
The absolute value of the quantity (x-2)>0.
I know one answer is 2, but the homework says there are 2 answers. If you could, please help me to remember how to do this!! Thanks so much for all of your help.
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
absolute value of a number is the square root of that number squared:
abs%28x%29+=+sqrt%28x%5E2%29
abs%28x+-+2%29+=+sqrt%28%28x+-+2%29%5E2%29
sqrt%28%28x+-+2%29%5E2%29+%3E+0
%28x+-+2%29%5E2+%3E+0+
x - 2 > +0 and x - 2 < -0
x - 2 > 0 and x - 2 < 0
x > 2 and x < 2
All real numbers except for two.