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. 𝑋 = {π‘₯: π‘₯ β‰₯ 2, π‘₯ ∈ ℝ}.

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Video Transcript

Express the following set using interval notation. 𝑋 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, we’re going to represent this as an unlimited interval. It has no upper limit. So we can write the upper limit as positive ∞. Remember, of course, that when we do so, we cannot easily define or quantify positive ∞. 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 𝑋 using interval notation is represented by the left-closed right-open interval from two to ∞.

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