Question

Check whether the following sets are open or closed or neither:

(i) equation

(ii) equation

20 Jan 2026
Answer :
Word Count : 212
Consider the first set: [ A = { 3n : n \in \mathbb{N} }. ] This is a set of discrete points ({3, 6, 9, 12, \dots}) in (\mathbb{R}). In the real numbers, an open set requires that for each point there exists an interval around it entirely contained in the set. For _______ __________ ______ _________ __________ ________ _____ _____ _________.
______ __________ __________ ________ _______.
____ _____ ___ _____ ________ _______.
_____ __________ _______ _________ ______ _______.
_________ _____ ___ _____ __________.
_______ ________ ______ _______ _____ __________ ___ ________ _______ __________.
____ _____ ___ _______ ______ _____ ________.
_____ ___ _________ _______ __________ _____.
____ ____ _________ _________ __________ ______.
____ ___ __________ ___ __________ _____.
_______ ___ ________ _________ ________ _______.
________ ___ _________ _________ _________ _______ ______ ________.
_______ ________ __________ _____ ____ ________.
________ ____ _______ _____ ________ ___ __________.
_________ ___ ___ __________ ___ ______ _________ _________ ________ __________ __________.
____ ___ _________ _______ ____ ___ ____ _______ ______.
_________ ________ _______ ___ __________ _________ ______ ___ ___.
_________ ___ _____ _______ __________ ___ _______ _________ ____ _________.
_________ ________ ________ ______ ___ _______ ___ ________ _____.
_____ _________ ________ ______ _____ ___.
_______ _______ _______ ______ ____ ________ ________ ___ _________ __________ ___ ________.
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