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 in set notation (write rel(a,R) and Rel(R)), then illustrate it with a diagram.

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A: (d) Let, x ∈ (A')'       => x ∉ A'       => x ∈ A      So, (A')' ⊆ A. . . . . . (I)…

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Q: 5) Let R be a binary relation over the positive integers defined as follows: R = {(a, b) | 2b < a <…

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Q: Let Z = {1,2, 3, ...,50}. a. How many relations on the set Z are both reflexive and antisymmetric?…

A: Here given set Z=1, 2, 3, ....., 50

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Q: consider a relation R={(a,b)|0<=a-b<=1} on a set A={0,1,2,3,4} a) Describe R using masters method…

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Q: If a, <a, then prove that A2A, where denotes a crisp superset (i.e., suppositions) relation.

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Q: Let {An : n E N} be the indexed collection of sets defined by 1 2, 2+ 2n An Prove that: nMeN An = Ø

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