y) ∈ R mean

Q: Let the domain of x and y be all people, Let W(x): "X is a woman". M(y): "y is a man", and L(x.y):…

A: Given W(x): ' x is a woman' M(y):' y is a man'

Q: 1. Consider the relation R = {(a, a),(b, b), (c, c), (d, d),(a, b), (b, a)} on set A = {a,b,c,d}. Is…

A:

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: 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: Prove that the following relations are true in general: a. A₁ + A₂=(A₁-A₂) U (A₂-A₁) h AU(A04- (A.)…

A: Given, To prove that the following relations are true in general: a). A1 + A2 = (A1 - A2) U (A2 -…

Q: This question refers to unions and intersections of relations. Since relations are subsets of…

A: The objective of this question is to find the Cartesian product of sets A and B, and the relations R…

Q: Let A = {0, 1, 2} and B = {0, 8, 9}. If R is the relation from A to B such that (a, b) ∈ R provided…

A: If ab=0 then either a or b is equal to 0 Both also can be 0.

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: Let A = {a, b, c, d} and let R = {(a, a), (a, b), (a, c), (a, d), (b, b), (b, c), (b, d), (c, c),…

A: Given that   be a relation on the set Reflexive:  For every…

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: prove why each relation has or does not have the properties: reflexive, symmetric, anti-symmetric,…

A:

Q: 8. Let A = {2, 4} and B = {1, 3, 5} and define relations U, V, and W from A to B as follows: For all…

A: In the given question we have to draw the arrow diagram of the relation U,V and W and we have to…

Q: This question refers to unions and intersections of relations. Since relations are subsets a…

A:

Q: Plz explain properly.

A: The objective of this question is to find the Cartesian product of sets A and B, the relations R and…

Q: Let A = (0,1,2,3). The relations R, S and T in the set A are defined as follows……

A:

Q: This question refers to unions and intersections of relations. Since relations are subsets of…

A:

Q: Let R1, R2, R3 be relations on { a, b, c, d, e }. Find the transitive closures, given their…

A: i) R1 = { (a, c),(b, d),(c, a),(d, b),(e, d) } To find the transitive closure of R1, we need to find…