Interval notation

Front

What is interval notation?

Back

A mathematical notation used to represent a range of values, typically expressed using parentheses and brackets.

Front

What does the notation (a, b) represent?

Back

An open interval that includes all numbers between a and b, but not a and b themselves.

Front

What does the notation [a, b] represent?

Back

A closed interval that includes all numbers between a and b, including a and b.

Front

What does the notation (a, b] represent?

Back

A half-open interval that includes all numbers between a and b, including b but not a.

Front

What does the notation [a, b) represent?

Back

A half-open interval that includes all numbers between a and b, including a but not b.

Front

How is positive infinity represented in interval notation?

Back

As +∞, indicating that the interval extends indefinitely in the positive direction.

Front

How is negative infinity represented in interval notation?

Back

As -∞, indicating that the interval extends indefinitely in the negative direction.

Front

What is the interval notation for x < 5?

Back

(-∞, 5).

Front

What is the interval notation for x ≥ 10?

Back

[10, ∞).

Front

Why do we use parentheses for infinity in interval notation?

Back

Because infinity is not a specific number, so it cannot be included in the interval.