Interval Notation and Inequalities

Front

What is interval notation?

Back

A mathematical notation used to represent a range of values, typically expressed using parentheses and brackets.

Front

What does a closed interval [a, b] represent?

Back

It includes all numbers between a and b, including the endpoints a and b.

Front

What does an open interval (a, b) represent?

Back

It includes all numbers between a and b, but not the endpoints a and b.

Front

What does the notation (a, ∞) signify?

Back

It represents all numbers greater than a, not including a.

Front

What does the notation (-∞, b) signify?

Back

It represents all numbers less than b, not including b.

Front

How do you represent 'x is less than or equal to 5' in interval notation?

Back

(-∞, 5]

Front

How do you represent 'x is greater than 3' in interval notation?

Back

(3, ∞)

Front

What is the significance of using parentheses in interval notation?

Back

Parentheses indicate that the endpoint is not included in the interval.

Front

What is the significance of using brackets in interval notation?

Back

Brackets indicate that the endpoint is included in the interval.

Front

How do you represent the solution set for 'x is less than 2 or x is greater than 5' in interval notation?

Back

(-∞, 2) ∪ (5, ∞)