Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.

If ƒ(x, y) ≤ g(x, y) for all (x, y) in R, and both ƒ and g continuous are over R, then ∫_R ∫ ƒ(x, y) dA ≤ ∫_R ∫ ƒ(x, y) dA.