Let X be the set of nonempty sets of (-1, 0, 1) and define a relation R on X as follows: For all sets s and tin X, SR t the sum of the elements in s equals the sum of the elements in t. It is a fact that R is an equivalence relation on X. Use set-roster notation to list the distinct equivalence classes of R. (Enter your answer as a comma-separated list of sets. Enter EMPTY or for the empty set.)

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A: Given below the detailed solution

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Q: need help

A: Step 1: First find out the (m,n) which belong to the equivalence classes R for x, y ∈ A. As mRn ⟺…

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A: Given A=1, 2, 3, 4, …, 22 and for all x,y∈A, xRy⇔4|x-y Hence, the relation R is given by…

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Q: x R y in R if | x |=||

A: we have to find the relation R where R is defined by x R y in ℝ if x=y, equivalent or not.

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A: We take the help of the signum function

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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…

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Q: What is the significance of the line above the 'a' variable in this context?

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A: Given A={-4,-3,-2,-1,0, 1, 2, 3, 4, 5, 6}

Q: Let A = {-6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4) and define a relation R on A as follows: For all m,…

A: The objective of this question is to find the distinct equivalence classes of the relation R on set…

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