Stage 19 · Sets & Intervals — the Language of Functions

19.5.4 Neighborhood: Around a Point

19.5 Intervals and Neighborhoods: Sets on the Number Line

Point 4 of 5

19.5.4 Neighborhood: Around a Point

Core idea

Zero in on a small stretch of width δ around a point a, and that's its neighborhood (a−δ, a+δ).

Module goal. Carry the language of sets onto the number line, using intervals and neighborhoods to capture continuous ranges of numbers neatly — a direct route to the domain of a function
eastmath.com · 19.5 Intervals and Neighborhoods: Sets on the Number Line · 19.5.4 Neighborhood: Around a Point