21.9k views
4 votes
Difference between all even integers and all positive even integers?

1 Answer

1 vote
Any even number takes the form x=2n
x
=
2
n
where n
n
is an integer. So, two even numbers
a=2n
a
=
2
n
and b=2m
b
=
2
m

a−b=2n−2m
a

b
=
2
n

2
m

a−b=2(n−m)
a

b
=
2
(
n

m
)

since integers are closed under subtraction n−m
n

m
is a new integer p
p
, and
a−b=2p
a

b
=
2
p

an even number
User Mishbah
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories