(a) Consider the sets D = {x : x = p³,p e N}, E = {z : z = 2", n e Z} and F = {y : y is an odd integer}. The sets D, E and F are subsets of the Universal set U = {u : -3

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Q: 1.* Let U C R? be an open and bounded set and u e C²(U) n C(U) satisfy -1 Ди(х) : in U. 1 + |x|

A: Since I have solved similar ones, Let us show that u attains its minimum on the boundary

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A: We have to prove that the given statement.

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Q: 1. Prove that for all sets X, Y , if XU Y = Xn Y, then X = Y. %3D

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Q: Prove that Z ≈ E*, where Z is the set of integers and E* is the set of positive even integers.

A: To prove:

Q: Let {An : n e N} be the indexed collection of sets defined by (2. 2-) 1 An Prove that: = Ø

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Q: Let G=(V, E) be a finite

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Q: Prove that every finite set S of R" has no accumulation point.

A: Now taking set S Let ? = {?1, ?2, . . . , ?n }.

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A: Given: Non empty subset To find: Solution

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A: hey buddy your question is blur can you plz upload it again.... thankyou

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.