SOLUTION: Could you please determine whether the abosolute value inequality is equivalent to the inequality following it? |x-3|>0,x-3>0 Also could you please give details? Thank you v

Algebra ->  Graphs -> SOLUTION: Could you please determine whether the abosolute value inequality is equivalent to the inequality following it? |x-3|>0,x-3>0 Also could you please give details? Thank you v      Log On


   

Question 137244This question is from textbook
: Could you please determine whether the abosolute value inequality is equivalent to the inequality following it?
|x-3|>0,x-3>0
Also could you please give details?
Thank you very much. This question is from textbook

Answer by oscargut(2103) About Me  (Show Source):
You can put this solution on YOUR website!
In gral |f(x)|= f(x) if f(x)>0 and |f(x)|= -f(x) if f(x)<=0
so |x-3|>0 is equivalent to x-3>0 when x-3>0 ( when x>3)