Question 8 Suppose A = {1,2,3,4). Let S and R be relations on A defined as follows: S = {(1,1), (1,3), (2, 3), (3,4), (4,1)} R = {(1,4), (2,2), (3,2), (4,2)} True or False: (4,2) is in Ro R O True O False

Q: R = {(1,1), (1,2), (1,3), (2,3), (7,1), (7,2), (7,3), (4,5), (4,6), (5,6), (5,5)}

A:

Q: Identify the matrix that corresponds to the relation {(1, 1), (1, 4), (2, 2), (3, 3), (4, 1)).…

A:

Q: 2. If A = {1, 2, 3} and B = {2, 3, 4}, and R is the relation on AxB defined by xRy when x + 2y is…

A:

Q: 3. Let A = {-1, –3, –5}, B = {a, B, 7}, C = {x, y, z}. Consider the relations R from A to B and S…

A:

Q: y) ∈ R mean

A: Given as, A = {4, 5, 6} and B = {5, 6, 7}

Q: Let R and S be relations defined on the set of {9,3, 1,0}. R = {(1,1), (9, 3), (1,3), (9,0)}. S =…

A:

Q: 1. Consider the following relations on the set A = {1,2, 3, 4}. = {(1, 1), (1,3), (1, 4), (2, 2),…

A:

Q: 1. Suppose A = {1,2, 3, 4} and the relation R on A is R = {(1,1), (2, 2), (3,3), (3, 4), (4, 4)} (a)…

A:

Q: For each of the relations on A = {0, 1, 2, 3} below R = {(0, 0),(0, 1),(0, 3),(1, 0),(1, 1),(2,…

A:

Q: Suppose f : B C where B = {a, b, c}, C = {2, 8, 10}, and f is defined by f = {(a, 8), (b, 10), (c,…

A:

Q: Let A = {1, 2} and let B = {2, 4, 7}. Let R be a relation defined as follows: (x, y) = R means that…

A: Solution:

Q: Let X = {a, b, c, d, e,f} and S be the relation on X defined by S = || {(а, а), (а, b), (а, с), (а,…

A:

Q: How many relations are there on the set {a, b}. Show all possible relations on the set {a, b} in…

A:

Q: If V=R\power{3}, and W\index{1} is the xy plane and  let W\index{2} is yz-plane:…

A: Let (a,b,c) be any element of R3, then (a,b,c)=(x,y,0)+(0,y,z)=(x,2y,z) ⇒a=x, b=2y, c=z ⇒a,b,c∈R ⇒…

Q: If R = {(1, 2), (1, 4), (2, 3), (3, 1), (4, 2)}, what is the reflexive closure of R? O {(1, 2), (2,…

A: The Second option is correct  {(1,1),(1,2),(1,4),(2,2),(2,3),(3,1),(3,3),(4,2),(4,4)}

Q: 9.25. Let A = {1, 2, 3, 4, 5, 6}. The relation R = {(1,1), (1, 5), (2, 2), (2, 3), (2, 6), (3, 2),…

A: