Advertisements
Advertisements
Question
Determine the Domain and Range of the following relations : R = {(a, b) / a ∈ N, a < 5, b = 4}
Solution
R = {(a, b) / a ∈ N, a < 5, b = 4}
∴ Domain (R) = {a / a ∈ N, a < 5} = {1, 2, 3, 4}
Range (R) = {b / b = 4} = {4}
APPEARS IN
RELATED QUESTIONS
If (x – 1, y + 4) = (1, 2) find the values of x and y.
If `(x + 1/3, y/3 - 1) = (1/3 , 3/2)`, find x and y.
Express {(x, y) / x2 +y2 = 100 where x, y ∈ W} as a set of ordered pairs.
Write the domain and range of the following relation: {(a, b) / a ∈ N, a < 6 and b = 4}
Write the domain and range of the following relation: (2, 4), (2, 5), (2,6), (2, 7)}
Find the following relation as sets of ordered pairs:
{(x, y) / y = 3x, x ∈ {1, 2, 3}, y ∈ {3, 6, 9, 12}}
Find the following relation as sets of ordered pairs:
{(x, y) / y > x + 1, x ∈ {1, 2} and y ∈ {2, 4, 6}}
Find the following relation as sets of ordered pairs:
{(x, y) / x + y = 3, x, y ∈ {0, 1, 2, 3}}
If A = {1, 2, 3} and B = {2, 4}, state the elements of A × A, A × B, B × A, B × B, (A × B) ∩ (B × A).
If A = {1, 2, 3}, B = {4, 5, 6} which of following are relation from A to B : R1 = {(1, 4), (1, 5), (1, 6)}
If A = {1, 2, 3}, B = {4, 5, 6} which of following are relation from A to B : R2 = {(1, 5), (2, 4), (3, 6)}
If A = {1, 2, 3}, B = {4, 5, 6} which of following are relation from A to B : R3 = {(1, 4), (1, 5), (3, 6), (2, 6), (3, 4)}
If A = {1, 2, 3}, B = {4, 5, 6} which of following are relation from A to B : R4 = {(4, 2), (2, 6), (5, 1), (2, 4)}