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

If f(x) ≤ g(x) for a ≤ x ≤ b, then the arc length of the curve y = f(x) for a ≤ x ≤ b is less than or equal to the arc length of the curve y = g(x) for a ≤ x ≤ b.