math question Let the relation R on X = {1, 3, 5, 6, 8, 9, 11} be such that xRy means “x − y is a multiple of 3”. Prove that R is an equivalence relation

Q: 8. Define relation R on (Z+ U {0}) × Z+ by (a, b)R(c,d) if ad = bc. (a). Prove that R is an…

A:

Q: Recall that to show lim;-→a f(2) does not exist, we need to find two distinct paths Y1 and y2 of…

A:

Q: Determine whether the following relation is an equivalence relation? R= {(a, a), (a, c), (c, a), (b,…

A:

Q: A relation R is defined on the set of integers by: aRb = a + b = 2m + 1, where m is an integer. Show…

A:

Q: Discrete Math Let S be a nonempty subset of Z and let R be a relation defined on S by xRy if 3 | (x…

A: Equivalence relation: A relation  on a set  is said to be equivalence relation on a set if it…

Q: Let R be the relation on the set of ordered pairs of positive integers such that ((a, b), (c, d)) E…

A:

Q: Decide whether each of the following relations is an equivalence relation or not.  {(a, b) | gpa of…

A: To prove equivalence relation, we have to prove that (i) the relation is reflexive, (ii) the…

Q: Let be the equivalence relation on Z defined by z~ y if and only if z-y is divisible by 15. Give…

A: Equivalence relation

Q: Let R₁ and R₂ both be equivalence relations. Show by proof or disprove by counterex- ample the…

A:

Q: Exercise: Let R be a relation on people such that (a,b) is" a is a parent of b Let S be a relation…

A: Let R be a relation on people such that (a,b) is "a is a parent of b".Let S be a relation on people…

Q: Give an example of two equivalence relations R and S on the set A = {1, 2, 3} such that RUS is not…

A: 6 Given set is A=1,2,3. Consider the relation R and S on A is given by  R=1,1,2,2,3,31,2,2,1 And…

Q: Let U = {a, b, c, d, e}. Using a binary table define relation RCU x U such that R is symmetric but…

A: Given that, a set   , then by the Cartesian product  will be the sell of all possible ordered pairs…

Q: True/False: The relation R = {(a, a), (a, b), (b, a), (b, b), (c, c), (a, c), (b, c), (c, b), (d,…

A: The given set is                         S = { a , b , c , d }  and the given relation is…

Q: Discrete Math: Lets say B = {1,2,3,4,5,6}. Let R be the smallest equivalence relation on B which…

A:

Q: R is a relation on set of integers (Z) and it is given by Then, R is (x, y) = R⇒ |x − y| ≤ 1.…

A:

Q: prove why they have or do not have the properties: reflexive, symmetric, antisymmetric, transitive…

A: A=a,b,cR=a,a, b,b, c,c, a,b, a,c, c,b A relation R is reflexive if a,a∈R for every element a. Here…