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 the notation (a, b) represent?

Back

The notation (a, b) represents an open interval, meaning that the endpoints a and b are not included in the interval.

Front

What does the notation [a, b] represent?

Back

The notation [a, b] represents a closed interval, meaning that the endpoints a and b are included in the interval.

Front

What does the notation (a, b] represent?

Back

The notation (a, b] represents a half-open (or half-closed) interval, meaning that the endpoint a is not included while the endpoint b is included.

Front

What does the notation [-a, b) represent?

Back

The notation [-a, b) represents a half-open interval where the endpoint -a is included and the endpoint b is not included.

Front

How would you express the set of all real numbers less than 5 in interval notation?

Back

(-∞, 5)

Front

How would you express the set of all real numbers greater than or equal to -2 in interval notation?

Back

[-2, ∞)

Front

How do you represent the union of two intervals, (1, 3) and (4, 6)?

Back

(1, 3) ∪ (4, 6) represents the union of the two intervals.

Front

How do you represent the intersection of two intervals, (1, 5) and (3, 7)?

Back

(3, 5) represents the intersection of the two intervals.

Front

What is the interval notation for the set of numbers between -3 and 2, including -3 but not including 2?

Back

[-3, 2)