>= and <= are used when you need an inclusive set. if (num2>=5 && num2<=10) will return true for the set { 5, 6, 7, 8, 9, 10 }, whereas if (num2>5 && num2<10) will return true for the set { 6, 7, 8, 9 }.
Similarly, if (15 > 15) will return false, while if (15 >= 15) will return true. If you want to keep the original assertion that "The program should print "Two larger" if num2 and num3 are both larger than 15", you need inputs that reflect that assertion, since setting num2 or num3 to be equal to 15 with this assertion will always return "Don't know".