Interval Notation and Set Builder Notation

This video tutorial explains how to convert mathematical expressions from interval notation to set builder notation. It covers several examples, including intervals with closed and open endpoints, intervals extending to infinity, and unions of multiple intervals. The tutorial provides step-by-step instructions on graphing these intervals on a number line and expressing them in set builder notation, helping viewers understand the conversion process.

What is the first step in converting an interval notation to set builder notation?

• Identify the type of brackets used

• Draw a number line

• Write the inequality

• Calculate the midpoint

How does a closed bracket affect the representation of an interval on a number line?

• It indicates an open circle

• It means the endpoint is not included

• It indicates a closed circle

• It means the interval is infinite

What does an open parenthesis signify in interval notation?

• The interval is closed

• The endpoint is not included

• The interval is infinite

• The endpoint is included

What does a closed circle on a number line indicate about the interval?

• The endpoint is not included

• The interval is infinite

• The endpoint is included

• The interval is open

How is an interval extending to positive infinity represented in set builder notation?

• x is less than a number

• x is greater than or equal to a number

• x is equal to a number

• x is less than or equal to a number

How do you represent an interval that starts at a number and extends to infinity?

• x is less than the number

• x is greater than or equal to the number

• x is greater than the number

• x is less than or equal to the number

What is the correct representation of an interval from negative infinity to a number in set builder notation?

• x is greater than or equal to the number

• x is less than the number

• x is equal to the number

• x is greater than the number

What is the significance of an open circle at an endpoint on a number line?

• The interval is infinite

• The endpoint is not included

• The interval is closed

• The endpoint is included

In a union of intervals, how are the intervals connected in set builder notation?

• Using a 'but' statement

• Using an 'and' statement

• Using an 'or' statement

• Using a 'then' statement

In set builder notation, how is an interval from a number to infinity typically expressed?

• x is less than or equal to the number

• x is greater than the number

• x is greater than or equal to the number

• x is less than the number