★ Must-know
📌 The interval [a;b] includes both endpoints, ]a;b[ excludes both, [a;b[ includes a but excludes b, and ]a;b] excludes a but includes b.
Further detail
1. Which interval contains every real number between its two endpoints whenever both endpoints belong to the interval?
2. Which notation represents an interval that includes its left endpoint but excludes its right endpoint?
3. What does the notation R* represent?
What does the set of real numbers R contain?
All numbers used in this course and its subsets.
What defines an interval I of real numbers R?
It contains every real x between any two numbers a and b in I.
Which endpoints does the interval [a;b] include?
Both endpoints a and b.
Which endpoints does the interval ]a;b[ exclude?
Both endpoints a and b.
Which endpoint does the interval [a;b[ include and exclude?
Includes a but excludes b.
Which endpoint does the interval ]a;b] exclude and include?
Excludes a but includes b.
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