11. ( a) b) c) [1 1 1 ) Consider the relation on A={1,2,3) represented by the matrix 0 10 0 1 1 Determine if the relation is reflexive. If it is not reflexive, state why. Determine if the relation is symmetric. If it is not symmetric, state why. Sketch a digraph to represent the relation.

Q: 11. ( a) b) c) ) Consider the relation on A={1,2,3) represented by the matrix Determine if the…

A:

Q: Consider the relation R = {(a, b) | a divides b} on the set {1, 2, 3, 4, 5, 6}. i. List all the…

A: The given relation is         R={(a,b)| a divides b} so to find the ordered pairs in the relation R,…

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: 1. 2. b 1 1 0 1 3 0 1 1 0 0 0 1 1

A:

Q: Define the relation R = {(a.b): a + b < ab} = A x B with A = {1,2,4} and B = {2,5,6). List all the…

A:

Q: Which ordered pair is in the inverse of the relation given by x2y + 5y = 9      A (2,1) B (-2,1) C…

A:

Q: Let X = {x € Z+ | 15 < 4x < 22} and Y = {y is even | 0 < 2y + 1 < 15}. Define a relation R from X to…

A: A relation defines the relationship between sets of values of ordered Paris. The set of elements in…

Q: Verify the relations (5).

A:

Q: Determine if the relation R = {(1,3), (1,4), (2,3), (2,4), (3,4)} is reflexive, symmetric,…

A:

Q: Which is not an element of the domain in the relation below? {(-4, 6), (0, 3), (2, 2), (7, – 1)} O 2…

A: Consider the given relation in ordered pairs. -4,6,0,3,2,2,7,-1 The objective of the problem is to…

Q: Define a relation R on the set of all integers Z as follows: for all integers m and n, m R n → m = n…

A:

Q: Let A = {1, 2, 3, 4, 5} and R be the relation defined by R = {(1,1), (2,2), (2,4), (2,5),…

A:

Q: Let A={a,b,c,d} and let R={(a,b)(b,c)(c,d)(d,b)} be a relation on A. Represent the relation using…

A: Given  A = {a, b, c, d} R = { (a, b), (b, c), (c, d), (d, b)}

Q: Let R be the relation, {(a, b) Nx N: a + b² is divisible by 3} Give an example that shows that R is…

A: Symmetric Relation: A relation R is said to be symmetric if

Q: Choose the relations that are a functions A) B) D) 21- {(0, 18), (1, 14), (2, 10), (2, 6), (3, 9)}…

A:

Q: Write the relation R = {(x, x3) : x is a prime number less than 10} in roster form.

A: Prime numbers less than 10 are 2,3,5,7

Q: mapping and a relation?

A:

Q: (a) Write a set of ordered pairs (x, y) that defines the relation.

A: Let us denote Boise=B, Miami=M, Springfield=S, Bermimgham=Br and variable for them be x. Their…

Q: Let A= B = Z. Let R be the relation from A to B defined by a Rb if and only if a² – b² = 9.…

A:

Q: Consider the following relation. R₁ = {(a, b)|2a = b or 2b = a} R₂ = {(a, b)| 4a + b b} R₁ = {(a,b)…

A:

Q: Let A = {1,2,3,4} and B = {A,B, C, D, E}. Consider the following relations and state whether…

A: A relation will be function if for each x∈A  there exists a unique b∈B with (a, b) ∈ f. In other…

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

A: