p-positive
n-negative
p+p=
n+n=
p+n=
n+p=
p-p=
n-n=
p-n=
n-p=
p-positive
n-negative
p+p=
n+n=
p+n=
n+p=
p-p=
n-n=
p-n=
n-p=
Given:
p>0, n<0
Assuming that p and n are real numbers
p+p>0
n+n<0
p+n>0 for |p|>|n| and <0 for |n|>|p|
n+p>0 for |p|>|n| and <0 for |n|>|p|
p-p=0
n-n=0
p-n>0 (because n is negative to start with)
n-p<0