Question Video: Expressing a Given Set in Interval Notation | Nagwa Question Video: Expressing a Given Set in Interval Notation | Nagwa

# Question Video: Expressing a Given Set in Interval Notation Mathematics • Second Year of Preparatory School

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Express the following set using interval notation. π = {π₯: π₯ β₯ 2, π₯ β β}.

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### Video Transcript

Express the following set using interval notation. π is equal to the set containing lowercase π₯ where π₯ is greater than or equal to two and π₯ is a real number.

First, we know that since π₯ could be greater than or equal to two but has no upper bound, weβre going to represent this as an unlimited interval. It has no upper limit. So we can write the upper limit as positive β. Remember, of course, that when we do so, we cannot easily define or quantify positive β. And so, we use a round bracket to represent an open interval at that point. We do, however, want to include the number two. And so we represent our answer as a left-closed right-open interval. Specifically, the set π using interval notation is represented by the left-closed right-open interval from two to β.

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