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.

Front

What does the symbol '(' or ')' mean in interval notation?

Back

The symbols '(' and ')' indicate that the endpoint is not included in the interval, known as an open interval.

Front

What does the symbol '[' or ']' mean in interval notation?

Back

The symbols '[' and ']' indicate that the endpoint is included in the interval, known as a closed interval.

Front

How is the interval notation for all real numbers represented?

Back

The interval notation for all real numbers is represented as (-∞, ∞).

Front

Convert the inequality x < 3 into interval notation.

Back

(-∞, 3) is the interval notation for x < 3.

Front

Convert the inequality x ≥ 4 into interval notation.

Back

[4, ∞) is the interval notation for x ≥ 4.

Front

Can you use the symbols [ or ] with infinity in interval notation?

Back

No, you cannot use the symbols [ or ] with infinity in interval notation.

Front

What is the interval notation for the inequality 2 < x < 5?

Back

The interval notation for 2 < x < 5 is (2, 5).

Front

What is the interval notation for the inequality 1 ≤ x ≤ 10?

Back

The interval notation for 1 ≤ x ≤ 10 is [1, 10].

Front

How do you represent the union of two intervals in interval notation?

Back

The union of two intervals is represented by the symbol '∪'. For example, (1, 3) ∪ (4, 6).