Determine which of these relations are transitive. The variables x, y, x', y' represent integers. A. x∼yx∼y if and only if xyxy is positive. B. x∼yx∼y if and only if x+yx+y is positive. C. (x,y)∼(x′,y′)(x,y)∼(x′,y′) if and only if x−y=x′−y′x−y=x′−y′.

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: All the possible relations on A {1,2,3} is equal to i. i. 8 relations 9 relations Non of these iii.

A: The number of relations on a set of n elements is given by 2n2.

Q: 1. Let A = {4,5,6} and B = {5,6,7} and define relations R from A to B as follows: V (x, y) E A X B,…

A:

Q: Let R1 = {(1,1), (2, 2)} and R2 = {(1,1), (1, 2)} be relations on A = {1, 2}. Then R1 U R2 = %3D %3D…

A: R1=1, 1, 2, 2  &  R2=1, 1, 1, 2 are the relations defined on set A=1, 2.

Q: Let A = {1,2} and B = {1,2}. Which of the following gives a relation satisfying the condition that…

A: Topic = Algebra 'd' gives a relation satisfying the given condition.

Q: The relation R is defined in A = {1, 2, 3} by a Rb if |a² - 6² ≤ 5. Which of the following is 2…

A:

Q: 26) If x, y, u, v are variables connected by the relations 1 1 x? =au? +bv2, y² =au² –bv² where a…

A: Given, x2=au12+bv12…1y2=au12-bv12…2 Equation 1+2 gives:…

Q: A). C). X y y 7 - 2 - 2 - 1 - 1 - 4 4 - 5 1 1 -4 1 - 2 - 5 1 y 1 y B). D). - 2 - 2 - 1 6. 8. - 1 0.…

A:

Q: 9.5. For the relation R= {(1,1),(1,2) , (1, 3) , (2, 2) , (2, 3) , (3, 3)} defined on the set {1,…

A:

Q: You are given two graphs G and H with V(G) = {a, b, c, d} and V(H) = {1, 2, 3}. 1. How many…

A:

Q: Determine which of these relations are transitive. The variables x, y, x', y represent integers. A.…

A: Note: As multiple questions have been posted, so only A is solved according to QnA guidelines.…

Q: Disprove that for any relations R and S, ran(S • R) = ran(S).

A:

Q: Which of these statements is the inverse to Vx e People, HavePhD(x) A Teachln(x, university) →…

A:

Q: 11. Let R₁ and R₂ be the relations on {1,2,3,4} given by R₁ = {(1,1), (1,2), (3,4), (4,2)) R₂ =…

A:

Q: -1 -2 -3 -41 1 2 3 Let A = 1 2.) Find adj (A)

A:

Q: 4. Let R be the relation {(1, 2), (1, 3), (2, 3), (2, 4), (3, 1)), and let S be the relation {(2,…

A: To find the composition of two relations R and S . the domain of S°R will be same as domain of R…

Q: AN 3. Given R(x) = a) R (-1 3x-1 TED COMPILED ANDEDIB COMPILED AND EDITE COMPILED AND SoCOMPILED AND…

A: This is a composition of functions.

Q: Let A = {0, 1}. Determine all relations on A

A: The numbers of relations on A  2n2 n is the number of elements in the set 222=24=16

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: 1. Let X = {1,2,3} and let R = {(1, 3)(1,2),(2, 3)}. Find the domain and range ofR. 2. Let R be a…

A:

Q: 7. Find a pair of integers (x,y) such that 4021x + 2014y= 1.

A:

Q: ii. Determine whether the relation, R = {(1, 3), (1, 4), (2, 3), (2, 4), (3, 1), (3, 4)} is: Yes/No…

A:

Q: Find x, y, z and w if (::)-(; )-(.. ") 4 x + y 3 -1 2w z + w 3

A:

Q: Prove than any pair of elements in H can be mapped to the positive y-axis by an element of SL(2, R).

A: According to the given information, it is required to prove that any pair of elements in H can be…

Q: consider the relation R={(1,a),(1,b), (3,b),(3,d), (4,b)} form X={1,2,3,4} and Y={a,b,c,d}. Thus…

A: Consider the relation

Q: y) ∈ R mean

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

Q: (7) For any nonzero a, b € Z, the gcd(a, b) divides the lem(a, b). (8) If r, y € Z and 3 divides ry,…

A:

Q: 4. Which relation between x and u yields 16+x² = 4/1+u?

A: Given:

Q: Let u = (2, -2, 3), v = (1, -3, 4), and w=(3, 6, -4). Evaluate the following 1. ||3u-5v+w||…

A:

Q: 1. State the domain of this relation. * 2 -2 {x ɛR} O {x ɛ R, x + 1} O {y ɛ R} O {y ɛ R, x + 1}

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…