Interval Notation Review

Front

What is interval notation?

Back

A mathematical notation used to represent a range of values, typically expressed using parentheses and brackets to indicate whether endpoints are included or excluded.

Front

How is the interval notation for x > -1 expressed?

Back

(-1, ∞)

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 < and >.

Front

What is the interval notation for -9 < x ≤ -4?

Back

(-9, -4]

Front

How is the interval notation for x < 8 expressed?

Back

(-∞, 8)

Front

What does the notation (a, b) signify in interval notation?

Back

It represents an open interval where a and b are not included.

Front

What does the notation [a, b] signify in interval notation?

Back

It represents a closed interval where a and b are included.

Front

What is the interval notation for x ≤ 3?

Back

(-∞, 3]

Front

How do you express the inequality x ≥ 5 in interval notation?

Back

[5, ∞)

Front

What is the difference between (a, b) and [a, b]?

Back

(a, b) excludes endpoints a and b, while [a, b] includes them.