Let A = {0, 1, 3, 5, 7, 8} and R be a relation defined on A such that R= {(x , y)| 4 divdes (x – y)}. Verify R is an equivalence relation? ...

Let R be an equivalence relation on A = {0, 7, 8, 9} and R = {(7, 8), (8,9), (9, 9), (7, 7), (8, 8), (7, 9), (9, 7), (9, 8), (8, 7), (0, 0)}. Answer each of the following questions. [8] = [7] = [9] = [0] =

Let R be the relation over the set of all straight lines in a plane such that l₁ Rl₂l₁ is perpendicular to 1₂. Then, R is an equivalence relation symmetric transitive reflexive

Let R be a relation on A = {0, 3, 4, 7} and R = {(0, 3), (3, 0), (7, 3), (4, 4), (7, 7), (3, 7), (3, 3)}. Are the following statements true or false? ? ? ? ? ? ? 1. R is symmetric ↑ 2. R is anti-symmetric 3. R is transitive ◆ 4. R is reflexive 5. R is a partial order ♦ 6. R is an equivalence relation