Interval and Set Builder Notation

Front

What is Interval Notation?

Back

A way to represent a range of numbers using brackets and parentheses. Brackets [ ] indicate inclusive endpoints, while parentheses ( ) indicate exclusive endpoints.

Front

How do you express the inequality -8 ≤ x < 8 in Interval Notation?

Back

[-8, 8)

Front

What does the notation (-7, 15] represent in algebraic notation?

Back

-7 < x ≤ 15

Front

How do you express the interval [3, 5] in algebraic notation?

Back

3 ≤ x ≤ 5

Front

What type of circle is used when graphing inequalities with > or

Back

Open circle

Front

What is the Interval Notation for the inequality x > -4 and x < -1?

Back

(-4, -1)

Front

What does the notation [a, b) mean?

Back

It includes 'a' and excludes 'b', meaning a ≤ x < b.

Front

What does the notation (a, b) mean?

Back

It excludes both 'a' and 'b', meaning a < x < b.

Front

How do you express the interval (-∞, 5] in words?

Back

All real numbers less than or equal to 5.

Front

What is the difference between closed and open intervals?

Back

Closed intervals include their endpoints, while open intervals do not.