Let A = {1, 3, 5, 7,9}, B = {2, 4, 6, 8}; a R b if and only if b< a a) Find Domain of the relation R b) Find Range of the relation R

Q: Suppose that the relation T is defined as follows. T= ((-1, 4), (7, 1), (-1, -5)} Give the domain…

A:

Q: Let A be the set of all students of a boys school. Show that the relation Rin A given by R = {(a, b)…

A: It is given that, A is the set of all students of a boys school.Show that R is an empty…

Q: Let A = (1,2,3,1,0,2) and B = (0,2,2,4,7,8). Then define a relation R from A to B as follows: For…

A:

Q: A (a,b,c,d} 1. Find a relation which is symmetric but nelther reflexive and not transitive on A. ii.…

A: A relation R from a set A to another set B is reflexive if and only if x R x holds for all x in A. A…

Q: Let A = {1, 2, 3, 4, 5, 6}. Define a relation R from A to A by R = {(x, y) : y = x + 1 }(i) Depict…

A:

Q: Suppose that the relation S is defined as follows. s = {(8, b), (8, d), (0, 7), (7, a)} Give the…

A:

Q: Let A = {2,3,4} and B = {6,8,10) and define a relation R from A to B as follows: For all (x, y) € A…

A: Solution:-

Q: Suppose that the relation T is defined as follows. T= {(4,-4), (-5, 1), (0, 4), (-5, -8)} Give the…

A: Given query is to find the domain and range of the relation.

Q: Which of the following relations is transitive? Define a relation R in the natural number. Select…

A: We have to find

Q: 2. Identify which is a relation and a function. a. U = {(-1,1), (0, 1), (1,1), (2, 1), (3, 1)} b. W…

A:

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

A: To list all the ordered pairs in the relation.

Q: Suppose that the relation S is defined as follows. S= {(0, 2), (9, a), (9, b), (2, c)} Give the…

A:

Q: For each relation F, indicate if it is: reflexive, anti-reflexive, or neither; symmetric, anti-…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: You are given two sets, A = {a,b,c,d} and B = {1,2,3}. How many relations can be defined from set A…

A:

Q: Let A = {0,1, 2}. Each of the statements below defines a relation R on A by (m,n) E R if the…

A: A relation between two sets is a set of ordered pairs x,y where x is an element from the first set…

Q: Let A = {3, 5, 7, 8} and define a relation S from A to A as follows: For all (x,y)∈A×A,(x,y) ∈ S if…

A: Solution : Given :             A = {3, 5, 7, 8} ,                         S is a relation from A to…

Q: Let S be the set of all real numbers and let R be a relation in S, defined by R = {(a, b) : a < b³}.…

A: Given relation is R = {(a, b) : a ≤ b3}

Q: List the ordered pairs in the relation R from A = {0, 1, 2, 3, 4} to B = {0, 1, 2, 3}, where (a,b) e…

A:

Q: Let A = {a, b, c} Define a relation as follows: ARA = {(a, b), (a, c), (b, c)} To obtain the…

A:

Q: Let A= {2, 4} and B = {2, 4, 6} and define a relation R for A to B as follows: Which ordered pairs…

A: A=2,4 and B=2,4,6a,b element A×B, a,b∈R means that a+b is an integer

Q: Let A = {1,2, 3, 6}. Define a relation R on A as follows: x Ry if y – x > 0 Write out the relation R…

A: We have to find the relation and write as set notation.

Q: Let A = {1, 2, 3, 4, 5} and R be the relation defined by a R b if and only if a < b. (a) Compute R²…

A: use the concept of composition          R2=RoR          R3=R2oR

Q: Show that each of the relation R in the set A = {x ∈ Z : 0 ≤ x ≤ 12}, given by(i) R = {(a, b) : |a –…

A: Given: Show that each of the relation R in the set A = {x ∈ Z : 0 ≤ x ≤ 12}, given by(i) R = {(a, b)…

Q: Let A = {1,-1,2, -2, 3, –3} and B = {1, 4, 9}. Consider the rule f(x) = x², where x € A. Draw the…

A:

Q: |Given the relation R= {(1,1), (2, 4), (3, 1), (4, 1), (5,2)} on the set A= {1,2,3,4,5), find the…

A: We know: Symmetric closure of a relation R, △, is obtained by adding (b, a) to R for each (a, b) ∈ R…

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

A:

Q: Let A = {1, 2} and B = {3, 4}. Find the number of relations from A to B.

A: Number of elements in A=2 ...................................In B=2

Q: Find the set of ordered pairs, domain and range of relation, R. Then draw a mapping diagram to…

A: R=(x-2,2x+3: x∈0,1,2,3,4,5

Q: A relation R is defined on the sets of integers by aRba2+b2=(a+b)2-2ab Show that R is symmetric

A: A relation is called symmetric if aRb⇔a2+b2=(a+b)2-2ab

Q: Suppose that the relation T is defined as follows. T = {(2,b), (7,0), (4,2), (7,a)} Give the…

A:

Q: By listing the elements as ordered pairs, define a relation on the set A = {e, 2, 7, ♡} which is:…

A:

Q: Suppose that the relation H is defined as follow. H=(7,7),(0,-1),(3,9),(-9,3). Give rhe domain and…

A:

Q: Suppose that the relation S is defined as follows. S=(-6,0),(-7,8),(3,8). Give the domain and range…

A: We will solve the following

Q: A relation R is called circular if (a, b) E R and (b, c) e R implies that (c, a) e R. Show that a…

A: Consider the provided question, Hello. Since your question has multiple parts, we will solve the…

Q: List the ordered pairs in the relation R from A = {0, 1, 2, 3, 4} to B = {0, 1, 2, 3}, where (a,b) e…

A: Given A={0,1,2,3,4} and B={0,1,2,3}

Q: 11. ( a) b) ) Consider the relation on A Determine if the relation is refl Determine if the relation…

A:

Q: A relation consists of the following points and the segments drawn between them. Find the domain and…

A:

Q: In each case below, a relation on the set {1, 2, 3} is given. Of the three properties, reflexivity,…

A: (a) Given relation on the set {1,2,3} is R = {(1,3) ,(3,1),(2,2)} (i) Clearly (1,1) is not belong to…

Q: Let A = {0, 1, 3, 4, 5, 6} and define the relation R and S on A as follows: For every (x, y ) eA,…

A:

Q: Let A = {6, 8, 10, 15, 17} and B = {2, 3, 4, 5} and define a relation R: A → B as follows: For all…

A: Given   A = {6, 8, 10, 15, 17};  B = {2, 3, 4, 5}; relation R: A → B  ordered pairs of A and B that…

Q: 6. If A = {1, 2, 3} and B = {2, 3, 4}, and R is the relation xRy when x + y is divisible by 3, then…

A: Given: A={1,2,3} B={2,3,4}

Q: Let A = {1, 3, 4, 6, 8, 9} and a relation on A is defined by the following: a R b if and only if a…

A:

Q: the 品|名 Let A = {0, 1, 3, 4, 5, 6} and define the relation R and S on A b) as follows: For every (x,…

A: using the concept of relation ...

Q: A car dealership sells cars that were made in 2015 through 2020. Let the cars for sale be the domain…

A: Given

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…

A:

Q: Let A = {4, 5, 6} and B = {6,7} and define a relation R from A to Bas: (x, y) E R means that x – y…

A: We have to perform the subtraction operation here on the 2 sets. If on subtraction every element of…

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:

Q: Let A = {1, 2, 3, 4, 5} Determine whether the relation R whose diagraph is given is relflexive,…

A: A relation R is said to be reflexive on the set A if for every element x in the set A, the ordered…

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

A:

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

A: Step 1:   The given relation is defined as: