Because it's the absolute value of the "end" result, there are exactly double the amount of results were we working with just positive integers (and 0), meaning we only have to work that out.
We know that there are 4 pairs of different integers that have a sum of 8:
0,8
1,7
2,6
3,5
4,4 is not a pair of two different integers and is therefore not included. We then multiply this by 2 in order to get the total amount that add up to 8, giving us a total of 8 pairs. Therefore, Pat is wrong.
