this is recursion java problem

Write a method printRange that accepts integer parameters x and y and that prints the sequential integers between x and y inclusive. The first half should be printed with the greater-than character (">") separating consecutive values. The second half should be printed with the less-than character ("<") separating consecutive values. The following table shows several calls and their expected output:

Call	Output
printRange(1, 9);	1 > 2 > 3 > 4 > 5 < 6 < 7 < 8 < 9
printRange(10, 20);	10 > 11 > 12 > 13 > 14 > 15 < 16 < 17 < 18 < 19 < 20
printRange(-8, -8);	-8
printRange(1, 10);	1 > 2 > 3 > 4 > 5 - 6 < 7 < 8 < 9 < 10
printRange(13, 14);	13 - 14

Notice that in the first output, 5 is in the middle with the numbers before it separated by greater-than and the numbers after it separated by less-than. In the second output, 15 is in the middle with numbers before it separated by greater-than and numbers after it separated by less-than. The third output has no separators because that range includes one number. When there are two values in the middle of the range, those two values should be separated by a dash, as shown in the last two outputs.

The method should throw an IllegalArgumentException if x is greater than y.