Find the Domain of Relation R Where x² + y² ≤ 4
Question
If
\[ R=\{(x,y): x,y\in Z,\ x^2+y^2\le4\} \]
is a relation defined on the set \( Z \) of integers, then write domain of \( R \).
Solution
Given,
\[ x^2+y^2\le4 \]
Possible integer values of \( x \) are:
\[ -2,-1,0,1,2 \]
Therefore,
\[ \text{Domain}(R)=\{-2,-1,0,1,2\} \]
Hence,
\[ \boxed{\{-2,-1,0,1,2\}} \]