Write the relation in the Roster form. State its domain and range.R4

1.	Write the relation in the Roster form. State its domain and range.R4 = {(x, y) / y > x + 1, x = 1, 2 and y = 2, 4, 6}
Answer» R₄ = {(x, y) / y > x + 1, x = 1, 2 and y = 2, 4, 6} Here, y > x + 1 When x = 1 and y = 2, 2 ≯ 1 + 1 When x = 1 and y = 4, 4 > 1 + 1 When x = 1 and y = 6, 6 > 1 + 1 When x = 2 and y = 2, 2 ≯ 2 + 1 When x = 2 and y = 4, 4 > 2 + 1 When x = 2 and y = 6, 6 > 2 + 1 ∴ R₄ = {(1, 4), (1, 6), (2, 4), (2, 6)} Domain (R₄) = {1, 2} Range (R₄) = {4, 6}

Write the relation in the Roster form. State its domain and range.R4 = {(x, y) / y > x + 1, x = 1, 2 and y = 2, 4, 6}

Answer»

R₄ = {(x, y) / y > x + 1, x = 1, 2 and y = 2, 4, 6}

Here, y > x + 1

When x = 1 and y = 2, 2 ≯ 1 + 1

When x = 1 and y = 4, 4 > 1 + 1

When x = 1 and y = 6, 6 > 1 + 1

When x = 2 and y = 2, 2 ≯ 2 + 1

When x = 2 and y = 4, 4 > 2 + 1

When x = 2 and y = 6, 6 > 2 + 1

∴ R₄ = {(1, 4), (1, 6), (2, 4), (2, 6)}

Domain (R₄) = {1, 2}

Range (R₄) = {4, 6}