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Can you explain this with examples
Every closed interval [a, b] is a closed set, R [a, b] = (-o, a) (b, + o) and R.H.S. being the union of twO open sets is an open set. [a, b) is not a closed set, R la, b) = (- co, a)u [b, + o) is not an open set as the R.H.S. is a nbd. of each of its points except b. Similarly, (a, b]. (a, b) are not closed sets.
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Shashi ranjan sinha Best Answer
see the attachment.... similarly other interval [a,b) is not open because a is not it's interior point
Can you tell how did they split [a,b]=(plus infinity,a) union (b,minus infinity)
No, they split the complement of [a,b] ...i.e , they split R-[a,b] or u can also write it as R\[a,b]