# sigma-algebra

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Let X= R ( realnumbers): consider the set of all half lines open to the left U= {(a, infinity) : a element R} and the set A = U Union { empty set, R}. is set A a sigma algebra?

What if we replace set U with the set V = {(a, infinity), (- infinity, b) : a,b are elements of R} of all half lines on R? is A a sigma algebra?

Please provide a detail explanation.

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##### Solution Summary

Conditions for sigma-algebra are stated.

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