Understanding Inequalities on a Number Line

The video tutorial from MooMooMath covers the basics of inequalities on a number line. It begins with an introduction to inequality symbols, explaining greater than, less than, and equal to symbols. The tutorial then demonstrates how to graph these inequalities on a number line, using open and closed circles to indicate whether numbers are included in the set. Several examples are provided to illustrate how to write and graph inequalities, including compound inequalities using 'and' and 'or'. The video concludes with advanced graphing techniques and encourages viewers to practice these skills.

Which symbol represents 'greater than'?

• ≠

• =

• >

• <

How is 'less than' represented on a number line?

• Closed circle

• Open circle

• Triangle

• Square

What does a closed circle on a number line indicate?

• The number is included

• The number is excluded

• The number is greater

• The number is less

When combining inequalities with 'or', what does it mean?

• At least one condition must be true

• Both conditions must be true

• Both conditions are false

• Neither condition is true

How would you write 'x is greater than 6' using inequality symbols?

• x = 6

• x ≤ 6

• x > 6

• x < 6

What does 'x is not equal to 5' mean on a number line?

• x is less than 5

• x cannot be 5

• x can be 5

• x is greater than 5

If x is greater than or equal to 4 and less than 8, how is it represented?

• Closed circles at both ends

• Open circle at 4, closed at 8

• Closed circle at 4, open at 8

• Open circles at both ends

What does an open circle at 3 and a closed circle at 7 represent?

• x is greater than 3 or less than 7

• x is less than 3 or greater than 7

• x is greater than 3 and less than 7

• x is less than 3 and greater than 7

How is 'x is less than 4' shown on a number line?

• Closed circle at 3

• Open circle at 4

• Open circle at 3

• Closed circle at 4

What does a graph with x greater than 4 and less than or equal to 8 look like?

• Open at 4, closed at 8

• Closed at 4, open at 8

• Open at both ends

• Closed at both ends