SOLUTION: Find the interval notation for |2x-3|>-3 and its graph. I get x>0 and x<3, but the reality is that all real numbers are solutions, how can I solve it step by step to get all real

Algebra ->  Absolute-value -> SOLUTION: Find the interval notation for |2x-3|>-3 and its graph. I get x>0 and x<3, but the reality is that all real numbers are solutions, how can I solve it step by step to get all real       Log On


   



Question 693361: Find the interval notation for |2x-3|>-3 and its graph.
I get x>0 and x<3, but the reality is that all real numbers are solutions, how can I solve it step by step to get all real numbers(-∞, ∞) as the result?

Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
The statement
|2x-3|>-3
needs no work at all. An absolute value by definition is always greater than or equal to 0 (and therefore greater than any negative number)
The graph is the entire number line and the interval is (-oo,oo).


:)