If R is reflexive, symmetric and transitive then the relation is said to be--------

Q: Let x1, x2, y1, y2 be real numbers. The expression (x1, y1) ~ (x2, y2) means that x12 + y12 = x22 +…

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

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

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Q: Determine whether the given relation is reflexive, symmetric, transitive and an equivalence…

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Q: (1,1),(2,2),(3,3)(4,4),(5,5) relation or function?

A: Given: R=(1, 1), (2, 2), (3, 3), (4, 4), (5, 5) To determine: Given set is a relation or function.

Q: Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9} and let R be the relation {(a,b) ! a , b} Find the smallest…

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Q: Determine whether the given relation is reflexive, symmetric, transitive and an equivalence…

A: By definition of  relation it is define as A relation is symmetric if and only if (b, a) ∈ R…

Q: Define a relation R on the set N of natural numbers by R = {(x, y) : y = x + 5, x is a natural…

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Q: ' (a,b) ∼ (c,d) ⇔ a+d =b+c '' defined as '∼' relation is that a equivalence relation?

A: It is equivalence relation if (a, b) belongs to ZxZ

Q: The domain for the relation R is Z × Z. (a,b) R (c,d) if and only if a <c and b< d. Indicate whether…

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Q: (i) Give an example of a relation S on A = {1,2, 3, 4} with S is reflexive, not symmetric and not…

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Q: Let the relation S defined as S = {(x,y) | y = X2 + 4x +3}. What is the domain of S?

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Q: d. {(0,0), (1,1), (1,3), (2,2), (2,3), (3,1), (3,2), (3,3)} е. {(0,0), (0,1), (0,2), (1,0), (1,1),…

A: Explanation of the answer is as follows

Q: The inverse of a relation r is r {(0, 0), (0, 1), (0, 2) }. Which of the following may be the…

A: Topic = Relation   The Inverse of a Relation is a set of ordered pairs that is the exact inverse of…

Q: Describe the equivalence classes of the relation R = {(a, b) : a € Z, b E Z, 13 divides (a – b)}

A: a equivalence class is a subset of the set on which the relation R is defined such that all elements…

Q: Let A= {0,1,2,3,4} and a partition of A be: {0,2},{1},{3,4} (a) Write all pairs of the relation…

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Q: а. {(0,0), (1,1), (2,2), (3,3)} b. {(0,0), (0,2), (2,0), (2,2), (2,3), (3,2), (3,3)} с. {(0,0),…

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

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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: а) The relation R on A = {3, 5, 7, 9} is defined by the ordered pairs below: R= {(3, 3), (3, 9), (5,…

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: Q5) Let X = {a, b,c, d} and let R = { (a, a), (a, b), (a, c), (b, a), (b, b), (b, c), (b, d), (d,…

A: Given : X = a, b, c, d R = a, a, a, b, a, c, b, a, b, b, b, c, b, d, d, d be a relation.   To show…

Q: Is Ra partially ordered relation ? ? . Why ?..

A: Solution is below provided

Q: Let R be the relation, {(a, b) e N x N:a + b is odd}. Give an example that shows that R is not…

A: Given R be the relation, {(a, b) ∈ N x N:a + b is odd}.  We find an example that shows that R is not…

Q: A relation is an equivalence relation if it satisfies three properties. which of the following…

A: I am going to solve the given problem by using some simple algebra to get the required result.

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

A: See the detailed hand written solution below.

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

A: Given: The number of watermelons in a truck all are weighted on a scale. The scale rounds the weight…

Q: Construct a relation on the set {1,2,3,4} that is reflexive, antisym- metric, and not transitive.

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

A: (a) Let the set A=set of all watermelons in the truck and R be the relation on A, i.e R⊂A×A defined…

Q: Define a relation R2 on the set A = {0, 1, 2, 3} as follows.R2 = {(0, 0), (0, 1), (1, 1), (1, 2),…

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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: Describe the equivalence classes of the relation R = {(a, b) : a E Z,beZ, 13 divides (a - b)}

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Q: MULTIPLE SELECT: Select THREE tables that represent a relation with a domain of {-2, 3, 7}. y 6 -2 O…

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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: Define the relation r on S = {A, B, C, D} by r ={ (A,B), A,D), (B,A), (B,C), (C,A), (C,B), (D,B)}.…

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Q: 1) Let R be a relation on N × N where (a, b) R (c, d) if a ≤ c and b ≥ d

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Q: Let A- {#, 7, x} and let R be the relation on. A given by R {(7, 7). (#, #)}. Prove or disprove…

A: Transitivity is a property of verbs that relates to whether a verb can take objects and how many…

Q: Give an example of a relation which is a) One-one and onto b) Many - one and onto c) One-one and…

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Q: Determine whether the given relations are partial order or equivalence relation on A = {1, 2, 3, 4,…

A: As per answering guideline, we can answer only one question at a time. Please repost other question…

Q: Determine whether the following relation is an equivalence relation or not. (a) G = {(x, y) |æ…

A: We have to determine whether the given relation is equivalence relation or not.

Q: The relation R on A = {3, 5, 7, 9} is defined by the ordered pairs below: R= {(3, 3), (3, 9), (5,…

A: Reflexive Relation: A relation R on a set A is said to be reflexive if  (a,a)∈R   for every a∈A.…

Q: Let ℝ denote the set of real numbers, and  β:={(x,y)∈ℝxℝ| xy≥∅} be a relation on ℝ. Which…

A: The given relation β⊂ℝ2 is: β=x,y∈ℝ×ℝ | xy≥0 The properties of a relation is: Reflexive Irreflexive…

Q: 2. State the domain and range of each relation. a) {(0, 5), (1, 6), (2, 7), (3, 8)} {(1, 4), (2, 3),…

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Q: cercise 2. Give an example of a relation R on A = {1,2,3} that is neither reflexive or irreflexive.

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

Q: Determine the domain and range of the relation R defined byR = {(x, x + 5) : x ∈ {0, 1, 2, 3, 4,…

A: We make a table for the relation x x+5 0 5 1 6 2 7 3 8 4 9 5 10

Q: Determine whether the given relation is an equivalent relation on {1, 2, 3, 4, 5} If the relation is…

A: To find: (i)the given relation is equivalence or not.             (ii) The equivalence class.

Q: State whether the statement is true or false : '' All relations are mapping but the converse is not…

A: we know that  All mapping are relation, but the converse is not true .

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…

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Q: Give an example of a relation. Which is(i) Symmetric but neither reflexive nor transitive.(ii)…

A: i. Symmetric but neither reflexive nor transitive.

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

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