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Grade 12th passAlgebra

Is S = (1,2) an open set or not an open set? Why? ..........

Profile image of Fathima Niloofar
6 Years agoGrade 12th pass
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2 Answers

Profile image of Arun
6 Years ago
open interval (1,2) is an open set. Any open interval is an open set. Both R and the empty set are open
Profile image of Vikas TU
6 Years ago
Dear student 
Additional information .
On the number line, it means you have a solid ball or bubble instead of an open one. One way to determine if you have a closed set is to actually find the open set. The closed set then includes all the numbers that are not included in the open set. For example, for the open set x = 3.