Let S be set of all strings of a's and b's. Define a relation R on S as follows: Vs, t E S, sRt e L(s) < L(t) Where L(x) denotes the length of the string. Is R symmetric or antisymmetric? Explain with an example.

Q: Let R be a relation that is symmetric and antisymmetric. Show that R is transitive

A: Let R be the relation which is symmetric and Anti-symmetric.We will show that R is transitive, that…

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A: There are many types of relations Symmetric Asymmetric Reflexive Transitive

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Q: Let A = {x, y, z}. Write down a relation R on A that is not reflexive, not sym- metric, and not…

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A: We will find out the required values.

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A: Please check the solution in next step

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A: Equivalence relation

Q: If a relation R on a set A is antisymmetric, then R is not symmetric.

A: To determine whether the given statement is true or false.

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Q: Let R be the relation on R defined by R= {(x, y) E R × R | x² + y² = 4 or x = y²}. Answer each of…

A: Given that R be the relation on ℝ defined by,R=x,y∈ℝ×ℝx2+y2=4 or x=y2

Q: T is a function?

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Q: A relation R defined on the given set A will satisfy

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A: (x,y) ∈ R × R (x,y) ∈ C means    x2 + y2 =4

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A: Given,            G=-2, 0, 2  and   H=4, 6, 8and  define a relation v from G to H as follows.For…

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A: We will prove the given statement.

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A: The complete solutions are given below

Q: Let R be a relation from A to B and S a relation from B to A. Prove or disprove that if S of R =…

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Q: Let R be a relation from A to B and S a relation from B to A. Prove or disprove that if S of R =…

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A: This problem can be solved as follows:

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A: This question contains 4 subparts. But according to  Bartleby, only first three subparts can be…

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A: Consider the provided question, Given that, R be a relation and S its reverse. Let R is a relation…

Q: Let A = Z+ x Z+. Define a relation R on A as follows: For all (r, y) and (z, w) in A, (x, y)R(z,w) +…

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