Interval Notation Review

Front

What symbols require a bracket in interval notation?

Back

≤, ≥

Front

Why do we draw a closed circle for ≤ or ≥?

Back

Because we are INCLUDING that solution.

Front

True or False: Interval notation must have either both parentheses or both brackets.

Back

False

Front

What kind of brackets do I use for ≤ or ≥ in interval notation?

Back

[ ]

Front

What kind of brackets do I use for > or < in interval notation?

Back

( )

Front

What does a closed interval [a, b] represent?

Back

All numbers x such that a ≤ x ≤ b.

Front

What does an open interval (a, b) represent?

Back

All numbers x such that a < x < b.

Front

What is the difference between a closed interval and an open interval?

Back

Closed intervals include endpoints; open intervals do not.

Front

How do you represent the interval from 3 to 5, including both endpoints?

Back

[3, 5]

Front

How do you represent the interval from 2 to 4, excluding both endpoints?

Back

(2, 4)