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Could someone please help me with this question Let S and T be subsers of R. Prove The following: inT (S) is an open ser.

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Could someone please help me with this question

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Let S and T be subsers of R. Prove The following: inT (S) is an open ser. Definition . Ler s be a subset of R. A point x in IR is an inferior point of S if There exists a neighborhood Nofx Such Ther NES. Hint: Use This definition To show That for all is XE int(S) there exists some epsilon so That N ( x; E ) E int ( s)

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