Interval Notation

Front

What is interval notation?

Back

Interval notation is a mathematical notation used to represent a range of values on a number line, using parentheses and brackets to indicate whether endpoints are included or excluded.

Front

What does a closed interval look like in interval notation?

Back

A closed interval is represented with brackets, e.g., [a, b], indicating that both endpoints a and b are included.

Front

What does an open interval look like in interval notation?

Back

An open interval is represented with parentheses, e.g., (a, b), indicating that both endpoints a and b are excluded.

Front

What is the interval notation for the inequality x > 3?

Back

(3, ∞) - This means x is greater than 3, not including 3.

Front

What is the interval notation for the inequality x ≤ -2?

Back

(-∞, -2] - This means x is less than or equal to -2, including -2.

Front

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

Back

(-5, 2) - This means x is greater than -5 and less than 2, excluding both endpoints.

Front

What is the interval notation for the inequality x ≥ 0 and x < 4?

Back

[0, 4) - This means x is greater than or equal to 0 and less than 4.

Front

When graphing the inequality x ≤ 1, what type of dot is used?

Back

A closed dot is used to indicate that 1 is included in the solution.

Front

When graphing the inequality x < 3, what type of dot is used?

Back

An open dot is used to indicate that 3 is not included in the solution.

Front

What is the interval notation for the inequality -3 ≤ x ≤ 5?

Back

[-3, 5] - This means x is greater than or equal to -3 and less than or equal to 5.