question archive Given, S and T are the sets of real numbers
Given, S and T are the sets of real numbers
Subject:MathPrice: Bought3
Given, S and T are the sets of real numbers.Prove that S is a closed set iff
S is the complement set of some set open set T.
Hint: use the definition of a open set i.e. T is said to be an open set if for all elements (let x) of T, there exist some epsilon(>0, epsilon may depend on that element, x), s.t. (x-epsilon,x+epsilon) belongs to T.
Note:this is complete ques. , no info. missing. Concepts which may be used in this question: Set theory, Boundedness of sets, Convergence of sequences.
