What does f(x)>g(x) mean for x in [a,b]?

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Homework Statement


Prove or falsify the statement (see picture)


The Attempt at a Solution


I've got the answer already but I want to make sure I know is what is meant by f(x)>g(x) for x in [a,b]. Does it mean f(x) lies above g(x) throughout the entire interval?
 

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Yes fix)> g(x) means that, for every value of x in the interval, f(x) is larger that g(x).
 

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