x, y - two different integers with the same sign.
The absolute value of the sum of the integers is 8.
[tex]|x+y|=8 \\
\Downarrow \\
x+y=8 \hbox{ or } x+y=-8[/tex]
If the absolute value of the sum is 8, then the sum may be equal to 8 or -8.
There are 6 pairs of integers that satisfy this condition:
-7 and -1
-6 and -2
-5 and -3
1 and 7
2 and 6
3 and 5
Therefore, Pat is not right.
