Question

every open interval is an open set?? Simple explanation

Answer 1

Answer:

An open subset of R is a subset E of R such that for every x in E there exists ϵ > 0 such that Bϵ(x) is contained in E. For example, the open interval (2,5) is an open set. Any open interval is an open set. Both R and the empty set are open.

Answer 2

Answer:

Step-by-step explanation:

An open subset of R is a subset E of R such that for every x in E there exists ϵ > 0 such that Bϵ(x) is contained in E. For example, the open interval (2,5) is an open set. Any open interval is an open set. Both R and the empty set are open.

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