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

[Lavabug]

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?

 

[HallsofIvy]

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