Write the domain of the relation R defined on the set Z of integers as follows: (a, b) ϵ R ⟺ a^2 + b^2 = 25 Watch Solution
If R = {( x ,y): x^2 + y^2 ≤ 4; x ,y ϵ Z} is a relation of Z, write the domain of R. Watch Solution
Write the identity relation of set A = {a, b, c}. Watch Solution
Write the smallest reflexive relation of set A = {1, 2, 3, 4}. Watch Solution
If R = {(x, y) : x + 2y = 8} is a relation on N, then write the range of R. Watch Solution
If R is a symmetric relation on a set A, then write a relation between R and R^{-1}. Watch Solution
Let R = {(x,y): |x^2 – y^2| less than 1} be a relation on set A = {1, 2, 3, 4, 5}. Write R as a set of ordered pairs. Watch Solution
If A = {2, 3, 4}, B = {1, 3, 7} and R = {(x,y) : x ϵ A, y ϵB and x less than y} is a relation from A to B, then write R^{-1}. Watch Solution
Let A = {3, 5, 7}, B = {2, 6, 10} and R be a relation from A to B defined by R = {(x, y) : x and y are relatively prime}. Then, write R and R^{-1} . Watch Solution
If A = {3, 5, 7} and B = {2, 4, 9} and R is a relation given by “is less than”, write R as a set ordered pairs Watch Solution
A = {1, 2, 3, 4, 5, 6, 7, 8} and if R = {(x,y) : y is one half of x; x, y ϵA} is a relation on A, then write R as a set of ordered pairs. Watch Solution
Let A = {2, 3, 4, 5} and B = {1, 3, 4}. If R is the relation from A to B given by a R b iff “a is a divisor of b.” Write R as a set of ordered pairs. Watch Solution
State the reason for the relation R on the set {1, 2, 3} given by R = {(1, 2), (2, 1)} not to be transitive. Watch Solution
Let R = {(a, a^3) : a is a prime number less than 5} be a relation. Find the range of R. Watch Solution
Show that R is an equivalence relation on the set Z of integers given by R = {(a, b) : 2 divides a – b}. Write the equivalence class [0]. Watch Solution
For the set A = {1, 2, 3}, define a relation R on the set A as follows: R = {(1, 1), (2, 2), (3, 3), (1, 3)} Write the ordered pairs to be added to R to make the smallest equivalence relation. Watch Solution
Let A = {0, 1, 2, 3} and R be a relation on A defined as R = {(0, 0) (0, 1), (0, 3), (1, 0), (1, 1), (2, 2), (3, 0), (3, 3)} Is R reflexive? Symmetric” transitive? Watch Solution
Let the relation R be defined on the set A = {1, 2, 3, 4, 5} by R = {(a, b) : |a^2 – b^2| less than 8}. Write R as a set of ordered pairs. Watch Solution
Let the relation R be defined on N by aRb iff 2a + 3b = 30. Then write R as a set of ordered pairs. Watch Solution
Write the smallest equivalence relation on the set A = {1, 2, 3}. Watch Solution
