IIT JAM
Dhivya Dharshini Asked a Question
October 11, 2020 6:39 pmpts 30 pts
  • IIT JAM
  • Mathematics (MA)

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
    • cropped1266395566262356789.jpg
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    Dhivya Dharshini
    Can you tell how did they split [a,b]=(plus infinity,a) union (b,minus infinity)
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