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Z is


A) open in R

B) closed in R

C) bounded in R

D) none of these

Correct Answer:
B) closed in R

Description for Correct answer:
\(Z^{c}=\bigcup\limits_{n=-\infty}^{\infty} \left(n,n+1\right) \)

= open (since each \((n,n+1)\) is open)

\(\Rightarrow =(Z^{c})^{c}\) is closed in R.

Part of solved Real Analysis questions and answers : >> Elementary Mathematics >> Real Analysis




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