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 start and end points of the interval and whether those points are included or excluded.

Front

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

Back

(3, ∞)

Front

What does an open dot represent when graphing inequalities?

Back

An open dot indicates that the endpoint is not included in the solution set, used for inequalities like < and >.

Front

How do you represent the inequality x ≤ 5 in interval notation?

Back

(-∞, 5]

Front

What is the difference between open and closed intervals?

Back

Open intervals do not include their endpoints (e.g., (a, b)), while closed intervals do include their endpoints (e.g., [a, b]).

Front

How do you write the interval from -2 to 4, including both endpoints, in interval notation?

Back

[-2, 4]

Front

What is the interval notation for all real numbers less than or equal to -1?

Back

(-∞, -1]

Front

How do you represent the inequality x < 0 in interval notation?

Back

(-∞, 0)

Front

What does the symbol ∞ represent in interval notation?

Back

The symbol ∞ represents infinity, indicating that the interval extends indefinitely in that direction.

Front

How do you write the union of the intervals (2, 5) and [7, 10) in interval notation?

Back

(2, 5) ∪ [7, 10) or (2, 5) U [7, 10) depending on notation preference.