If A=B=Z (set of integers), then find A+B
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Given:
A = B = Z (set of integers)
To find:
If A = B = Z (set of integers), then find A+B
Solution:
From given, we have,
A = B = Z
Where Z represents a set of integers
Z = {........ -1, 0, +1, ...........}
Thus, the set Z is composed from the elements of N and their opposed.
When A = B,
Then for sure their sum,
A + B = 2A = 2B
Where 2A = 2B ∈ Z
Thus, A + B can be represented as,
When A = B = 2, ⇒ {A + B} = {4}
When A = B = 3, ⇒ {A + B} = {6}
and so on.
So, A + B = 2 {Z}
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