Interval Notation 2

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 start and end points of the interval.

Front

What does the notation [a, b) mean?

Back

The notation [a, b) means that 'a' is included in the interval (closed), while 'b' is not included (open).

Front

What does the notation (a, b) mean?

Back

The notation (a, b) means that both 'a' and 'b' are not included in the interval (open).

Front

What does the notation (−∞, a) represent?

Back

The notation (−∞, a) represents all real numbers less than 'a', with 'a' not included.

Front

What does the notation [a, ∞) represent?

Back

The notation [a, ∞) represents all real numbers greater than or equal to 'a', with 'a' included.

Front

How do you express the inequality x > 3 in interval notation?

Back

In interval notation, x > 3 is expressed as (3, ∞).

Front

How do you express the inequality x ≤ -2 in interval notation?

Back

In interval notation, x ≤ -2 is expressed as (−∞, -2].

Front

What is the union of two intervals?

Back

The union of two intervals combines all the values from both intervals, represented by the symbol 'U'.

Front

How do you express the inequality -5 < x < 2 in interval notation?

Back

In interval notation, -5 < x < 2 is expressed as (-5, 2).

Front

What does the notation (−∞, -5) U (2, ∞) represent?

Back

The notation (−∞, -5) U (2, ∞) represents all real numbers less than -5 and all real numbers greater than 2.