i woulld like to lleRN about integers

Question

The absolute value of the sum of two different integers with the same sign is 8. Pat says there are three pairs of integers that's match this description. Do you agree? Explain

Answer 1

| 7 + 1|

| -7 - 1|

|6 + 2|

|-6 - 2|

|5 + 3|

|-5 - 3|

Answer 2

Actually, there are six pairs.  Here are two of them:

1. |7+1| = |8| = 8
2. |-7+(-1)| = |-8| = 8

Can you get the other four?  Note that the integers must be different, so 4+4 and -4+(-4) are excluded.  Also, 8+0 and -8-0 are excluded because zero is neither positive nor negative.