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4 changes: 4 additions & 0 deletions _sets.qmd
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Expand Up @@ -85,6 +85,10 @@ the expressions that write functions down and the algorithms that compute them.

{{< slidebreak >}}

{{< include mds/_subfiles/sets/_rem-interval-brackets.qmd >}}

{{< slidebreak >}}

{{< include mds/_subfiles/sets/_exm-interval.qmd >}}

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5 changes: 0 additions & 5 deletions _subfiles/sets/_def-interval.qmd
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Expand Up @@ -22,11 +22,6 @@ or of all real numbers on one side of a single bound,
or all of $\reals$.
The bounds $a$ and $b$ that define the interval are its **endpoints**.

A square bracket means the endpoint belongs to the interval,
and a parenthesis means it does not.
The symbols $\infty$ and $-\infty$ are not real numbers,
so they always get a parenthesis.

:::

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9 changes: 9 additions & 0 deletions _subfiles/sets/_rem-interval-brackets.qmd
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@@ -0,0 +1,9 @@
:::{#rem-interval-brackets .remark}
#### Brackets and parentheses in interval notation

In the notation for an [interval](#def-interval), a bracket marks an [endpoint](#def-interval) that belongs to the interval,
while a parenthesis marks an endpoint that is excluded.
The symbols $\infty$, $-\infty$ denote no [real number](number-systems.qmd#def-real-numbers),
so they always get a parenthesis.

:::
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