Let A = {1,2,3,...14). Define a relation R from A to A by R = {{(x,y)}

1.	Let A = {1,2,3,...14). Define a relation R from A to A by R = {{(x,y)}}: 3x - 4 = 0, x,y ∈ A}. Write its domain, co-domain and Range.
Answer» R={(x,y): x ∈ A, y ∈ B, 3x - y = 0} 3(1) - 3 = 0, 3(2) - 6 = 0, 3(3) - 9 = 0, 3(4) - 12 = 0 ∴ R = {(1,3), (2,6),(3,9),(4,12)} Domain of R = A ⇒ Co-domain of R = A Range of R = {3, 6, 9, 12}

Let A = {1,2,3,...14). Define a relation R from A to A by R = {{(x,y)}}: 3x - 4 = 0, x,y ∈ A}. Write its domain, co-domain and Range.

Answer»

R={(x,y): x ∈ A, y ∈ B, 3x - y = 0}

3(1) - 3 = 0, 3(2) - 6 = 0, 3(3) - 9 = 0, 3(4) - 12 = 0

∴ R = {(1,3), (2,6),(3,9),(4,12)}

Domain of R = A ⇒ Co-domain of R = A

Range of R = {3, 6, 9, 12}

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Let A = {1,2,3,...14). Define a relation R from A to A by R = {{(x,y)}}: 3x - 4 = 0, x,y ∈ A}. Write its domain, co-domain and Range.

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