If R = {( x , y ) : x , y Z , x 2 + y 2 ≤ 4} is a relation defined on the set Z of integers, then write domain of R .

Question

Philoid · Accepted Answer

Here, relation R is defined on the set Z.

And R={(x,y) : x,yϵ Z,x²+y²≤4}

={(-2,0),(-1,0),(0,0),(1,0),(2,0),(0,-2),(0,-1),(0,1),(0,2),(1,1),(-1,-1),(1,-1),(-1,1)}

Now we know,Domain is the set which consist all first elements of ordered pairs in relation R.

So,Domain(R)={-2,-1,0,1,2}