Look up the definition:
e.g. click here
and check that each property applies, or show that one doesn't apply. E.g. does the set contain the empty set, is the complement in [MATH]\mathbb{R}[/MATH] of [MATH][1,\infty)[/MATH] a set of the form [MATH][b,\infty), b\in \mathbb{R}[/MATH] ? etc...
Please tell us how your instructor/classnotes/textbook defines an algebra of sets.
As we see in this link there is no universal agreement on the definition.
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