Indicate whether the relation is: •Reflexive, anti-reflexive, or neither •Symmetric, anti-symmetric, or neither •Transitive or not transitive The domain of the relation A is the set of all real numbers.xAy if |x−y|≤2

Q: For each relation, indicate whether the relation is: • Reflexive, anti-reflexive, or neither •…

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Q: disprove: a relation that is symmetric and transitive must TProve also be reflexive. or

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Q: Define two relations R1 and R2 on set positive integers. R, = {(a,b)|a > b} and R2= {(a,b)|a? = b }.…

A: Composition of relation

Q: Let R1 = {(a,b) E R²|a > b}, R2 = {(a, b) E R²|a < b} and a) R3 = {(a, b) E R²|a + b} be relations…

A: we have  R1={(a,b)∈R2|a≥b}R2={(a,b)∈R2|a&lt;b}R3={(a,b)∈R2|a≠b}

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…

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Q: 4 1) 3 bes this digraph illustrate a relation that is symmetric or transitive or neither? ymmetrid…

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

A: We have to find

Q: Indicate whether the relation is: •Reflexive, anti-reflexive, or neither •Symmetric,…

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Q: 4. Make a table of values for each relation. Use the table to determine if the relation is…

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Q: 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…

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Q: Give an example of a relation which is (i) reflexive and transitive but not symmetric; (ii)…

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Q: 14. O is the relation defined on Z as follows: For all m, n = Z, m Onm - n is odd.

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Q: The number of watermelons in a truck are all weighed on a scale. The scale rounds the weight of…

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Q: The domain of a relation R is the set of real numbers. x is related to y under relation R if…

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Q: Recall that a prime number is an integer that is greater than I and has no positive integer divisors…

A: We will use explanation when  the relation satisfies and will use counter example when it does not .…

Q: Suppose that the relation R is reflexive. Show that R* is reflexive.

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Q: Let A = B = C = the set of real numbers. Let R be a relation from A to B and s be a relation from B…

A: For (h), We are given that A = B = C = the set of real numbers. Let R be the relation from A to 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: please show with example    The domain for each relation described below is the set of all…

A: Here given relation y=f(x)  f(x) =x+1 This is a linear function. We know for all value of x (belongs…

Q: The domain of the relation A is the set of all real numbers. Ay if |x-y| ≤ 2

A: Given relation is A=(x,y): x-y≤2, x,y∈ℝ Here x is the domain of the relation.