Let A = {1, 2, 3, 4). Define the relation R on A by x R y if x ≤y. a. List all the members of R b. Determine if R is reflexive, symmetric, anti-symmetric, transitive.

Q: Given the set A- {a, b, c, d} a) If this is the relation R= {(a, b), (b, d)} Show s(R). b) If this…

A: Given R=a,b,b,d. The Symmetric closure of R denoted by sR=R∪R-1, where R-1 is the inverse of the…

Q: Consider the relation R= {(a, b), (a, c), (c, c), (b, b), (c, b), (b, c)} on the set A = {a,b,c}. Is…

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Q: let R be the relation on the set of positive integers in which a R b if and only if a is a factor of…

A: Given below the detailed Solution.

Q: sider the relation R = {(1, 2), (1, 4), (2, 3), (3, 1), (4, 2)} on the set {1, 2, 3, 4}. What is the…

A: We have to find transitive closure of R. Where R is R={(1,2),(1,4),(2,3),(3,1),(4,2)} on the set…

Q: Give an example of relation on {1,2,3,4} that is reflexive, not symmetric, and not transitive

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Q: Define a relation R on the set {1, 2, 3, 4} as follows: T = {(1, 4),(2, %3D 3),(2, 4),(4, 1),(2,…

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Q: Let R be the relation on a set A = {a, b, c, d} defined by R = {(a, a), (a, b), (b, b), (b, c), (c,…

A: The given relation  on a set  is defined as follows..We need to find .

Q: Given a set A = {1, 2, 3, 4}. Define a relation R on A as: R = {(x, y) | x - y is even} List the…

A: For the relation R to hold between x and y, the difference (x - y) should be even.An even number is…

Q: Find the transitive closure of the relation R={(1,2),(2,2), (2,3),(3,3)} on the set A=(1,2,3}.…

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Q: Let A = {1,2,3} and B = {1,2,3, 4}. The relations R1 = {(1,1), (2,2), (3,3)} and R2 = {(1,1), (1,2),…

A: Given that  R1={(1,1),(2,2),(3,3)}R2={(1,1),(1,2),(1,3),(1,4)} We need to find  a. R1∪R2b. R1∩R2c.…

Q: Let A={5,10,15,20, 25} and a partition of A be: {5,25},{10, 20} , {15} (a) Write all pairs of the…

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Q: List all the ordered pairs in the relation R= {(a, b) | gcd(a,b) = 1} on the set {2, 3, 4, 5, 6}.

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