Question

If R = {(x, y): x, y ∈ Z , x² + y² ≤ 4 } is a relation defined on the set Z of integers then write domain of R.

Answer 1

Answer:

Domain of relation R = {-2,-1,0,1,2}

Step-by-step explanation:

Given,

R = {(x, y): x, y ∈ Z , x² + y² ≤ 4 }

To find: Domain

Solution:

Domain is basically the possible values of x for which the relation R is defined.

And it's given that here, Domain belongs to a set of intezers Z.

R in roster form can be written as:

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

From here,

Domain of relation R = {-2,-1,0,1,2}

Answer 2

Answer:

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R = {(x, y): x, y ∈ Z , x² + y² ≤ 4 }

Solution:

Domain is basically the possible values of x for which the relation R is defined.

And it's given that here, Domain belongs to a set of intezers Z.

R in roster form can be written as:

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

 

Domain of relation R = {-2,-1,0,1,2}