Exploring Interval Notation and the Number Line

What is set builder notation used for?

• To define sets

• To solve equations

• To draw graphs

• To calculate probabilities

What does a Venn diagram illustrate?

• Probabilities

• Graphs

• Equations

• Relations between sets

What does the number line represent?

• The set of all integers

• The set of all real numbers

• The set of all natural numbers

• The set of all complex numbers

What is an interval in the context of number lines?

• A set of imaginary numbers

• A set of complex numbers

• A set of discrete numbers

• A set of numbers forming a continuous span on the number line

What are intervals called that include their endpoints?

• Closed intervals

• Open intervals

• Half-open intervals

• Infinite intervals

How are open intervals represented on a number line?

• With open circles at the endpoints

• With brackets at the endpoints

• With solid dots at the endpoints

• With arrows at the endpoints

What is interval notation?

• A method to solve equations

• A technique to calculate probabilities

• A compact way to define numeric sets

• A way to draw graphs

How is a closed interval written in interval notation?

• [a, b]

• (a, b)

• [a, b)

• (a, b]

What does a left-closed and right-open interval look like in interval notation?

• (a, b)

• [a, b]

• (a, b]

• [a, b)

What are intervals with both an upper and lower bound called?

• Imaginary intervals

• Complex intervals

• Infinite intervals

• Finite intervals