Questions on Algebra: Exponents and operations on exponents answered by real tutors!

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Question 165340: Explain why the solution set of |3x/50 + 1/45|>= -4/5 is the set of all real numbers. : Explain why the solution set of |3x/50 + 1/45|>= -4/5 is the set of all real numbers.
Answer by gonzo(568) About Me  (Show Source):
You can put this solution on YOUR website!
any value you get will be either 0 or > 0 since everything on the left side of the equation is included in the absolute value sign.
|3x/50 + 1/45| is the same as absolute value of (3x/50 + 1/45).
since 0 is > -4/5, then any value > 0 will be greater as well.
here's a graph of the equation y = absolute value of (3x/50 + 1/45).
as you can see it will never get below 0 no matter what the value of x is.
graph (800,800,-50,50,-5,10,abs((3x/50)+(1/45)))