Graphing Inequalities and Their Symbols

The video tutorial covers writing and graphing inequalities, focusing on 'at least' and 'less than' conditions. It explains how to represent these inequalities on a graph using filled and open circles. The tutorial also demonstrates combining inequalities to form ranges, using examples to illustrate each concept.

What does the phrase 'at least 13' imply in terms of inequalities?

• The value can be 13 or more.

• The value must be exactly 13.

• The value must be less than 13.

• The value cannot be 13.

How is the number 13 represented on a graph when it is included in the inequality?

• With a filled circle.

• With a square.

• With a dashed line.

• With an open circle.

What does an open circle on a graph indicate?

• The inequality is invalid.

• The number is excluded from the inequality.

• The number is the only solution.

• The number is included in the inequality.

If an inequality is 'less than 7', how is it represented on a graph?

• With a filled circle at 7 and a line to the right.

• With an open circle at 7 and a line to the left.

• With a filled circle at 7 and a line to the left.

• With an open circle at 7 and a line to the right.

In a compound inequality, what does 'at least 24 minutes' mean?

• The time must be exactly 24 minutes.

• The time cannot be 24 minutes.

• The time can be 24 minutes or more.

• The time must be less than 24 minutes.

How is the number 30 represented in a compound inequality if it is not included?

• With a filled circle.

• With a dashed line.

• With an open circle.

• With a square.

What is the correct way to write a compound inequality for a value between 24 and 30, including 24 but not 30?

• 24 ≤ x ≤ 30

• 24 < x ≤ 30

• 24 ≤ x < 30

• 24 < x < 30

What does the inequality symbol '≤' signify?

• Less than or equal to

• Greater than

• Less than

• Greater than or equal to

Which of the following is true for the inequality x > 13?

• x can be 13

• x must be less than 13

• x must be greater than 13

• x can be 13 or less

What is the significance of using a filled circle in graphing inequalities?

• It indicates the number is excluded.

• It indicates the number is included.

• It indicates the inequality is invalid.

• It indicates the number is the only solution.