Understanding Interval Notation and Inequalities

This video tutorial covers expressing intervals using inequality and interval notation. It explains how to graph intervals on a number line using open and closed points, as well as parentheses and brackets. The tutorial provides examples of converting between graph representations and interval notation, including compound inequalities. It also discusses how to input these notations into a homework system, emphasizing the importance of using the correct symbols and previewing entries.

What does an open point on a number line indicate in interval notation?

• The endpoint is included in the interval.

• The interval is finite.

• The endpoint is not included in the interval.

• The interval is infinite.

How do you represent an interval where X is less than or equal to a number?

• With a rounded parenthesis at the endpoint.

• With an open point on the number line.

• With a dashed line on the graph.

• With a square bracket at the endpoint.

What does a closed point on a number line indicate?

• The interval is finite.

• The endpoint is included in the interval.

• The interval is infinite.

• The endpoint is not included in the interval.

In interval notation, what does a rounded parenthesis signify?

• The interval is closed.

• The interval is open.

• The endpoint is not included.

• The endpoint is included.

How do you express the interval from 1 to Infinity in inequality notation?

• X ≤ 1

• X > 1

• X < 1

• X ≥ 1

Which symbol is used for Infinity in interval notation?

• Closed point

• Square bracket

• Rounded parenthesis

• Open point

Which of the following represents a compound inequality?

• X > 1

• X < 3

• -1 ≤ X < 3

• X = 2

What is the correct way to enter a compound inequality into a homework system?

• -1 ≤ X ≤ 3

• -1 < X ≤ 3

• -1 ≤ X < 3

• -1 < X < 3

How is the interval from -3 to 2, including -3 but not 2, represented in interval notation?

• (-3, 2]

• [-3, 2)

• (-3, 2)

• [-3, 2]

How do you represent an interval where X is greater than or equal to a number?

• With a square bracket at the endpoint.

• With a rounded parenthesis at the endpoint.

• With an open point on the number line.

• With a dashed line on the graph.