Write the inverse relation corresponding to the relation R given by R

1.	Write the inverse relation corresponding to the relation R given by R = {(x, y): x ∈ N, x < 5, y = 3}. Also write the domain and range of inverse relation.
Answer» Given, R = {(x, y) : x ∈ N, x < 5, y = 3} ⇒ R = {(1, 3), (2, 3), (3, 3), (4, 3)} Hence, required inverse relation is R^–1 = {(3, 1), (3, 2), (3, 3), (3, 4)} ∴ Domain of R^–1 = {3} And Range of R^–1 = {1, 2, 3, 4}

Write the inverse relation corresponding to the relation R given by R = {(x, y): x ∈ N, x < 5, y = 3}. Also write the domain and range of inverse relation.

Answer»

Given,

R = {(x, y) : x ∈ N, x < 5, y = 3}

⇒ R = {(1, 3), (2, 3), (3, 3), (4, 3)}

Hence, required inverse relation is

R^–1 = {(3, 1), (3, 2), (3, 3), (3, 4)}

∴ Domain of R^–1 = {3}

And Range of R^–1 = {1, 2, 3, 4}