Interval Notation

Front

What is interval notation?

Back

Interval notation is a mathematical notation used to represent a range of values on the number line, indicating the lower and upper bounds of the interval and whether those bounds are included or excluded.

Front

What does a parenthesis '(' or ')' indicate in interval notation?

Back

A parenthesis indicates that the endpoint is not included in the interval. For example, (a, b) means 'a' and 'b' are not part of the interval.

Front

What does a bracket '[' or ']' indicate in interval notation?

Back

A bracket indicates that the endpoint is included in the interval. For example, [a, b] means 'a' and 'b' are part of the interval.

Front

Convert the inequality -5 < x ≤ 3 into interval notation.

Back

(-5, 3]

Front

Convert the inequality -3 < x < 7 into interval notation.

Back

(-3, 7)

Front

Convert the inequality -8 ≤ x < 8 into interval notation.

Back

[-8, 8)

Front

Convert the inequality -9 < x ≤ -4 into interval notation.

Back

(-9, -4]

Front

Convert the inequality -9 < x < -8.5 into interval notation.

Back

(-9, -8.5)

Front

What is the difference between open and closed intervals?

Back

An open interval does not include its endpoints (e.g., (a, b)), while a closed interval includes its endpoints (e.g., [a, b]).

Front

How do you represent the set of all real numbers using interval notation?

Back

The set of all real numbers is represented as (-∞, ∞).