Graphing Inequalities on a Number Line

The video tutorial from Moomoomath introduces graphing inequalities on a number line. It explains the symbols used to express inequalities, such as 'not equal to', 'greater than or equal to', and 'less than or equal to'. The tutorial demonstrates how to graph these inequalities using open and closed points on a number line, indicating whether a number is included in the solution. Examples are provided to illustrate how to graph inequalities with single and compound expressions. The video concludes with a summary of the key points covered.

What does an inequality show?

• That two expressions are identical

• That two expressions are equal

• That one expression is a multiple of another

• That two expressions are not equal

Which symbol represents 'not equal to'?

• ≥

• =

• ≤

• ≠

How can 'greater than or equal to' be expressed?

• Fewer than

• Not equal to

• No more than

• At least

Which symbol is used to represent 'less than or equal to'?

• ≥

• ≤

• ≠

• =

What does an open point on a number line indicate?

• The number is included in the solution

• The number is equal to the variable

• The number is not included in the solution

• The number is a maximum value

What does a closed point on a number line indicate?

• The number is a maximum value

• The number is not included in the solution

• The number is a minimum value

• The number is included in the solution

How is the inequality 'X is greater than or equal to 3' represented on a number line?

• With an open point at 6

• With an open point at 3

• With a closed point at 3

• With a closed point at 6

How is the inequality 'X is less than 2' represented on a number line?

• With a closed point at 2

• With an open point at 2

• With a closed point at 5

• With an open point at 5

How is the inequality 'X is greater than or equal to 10' represented on a number line?

• With a closed point at 5

• With an open point at 5

• With a closed point at 10

• With an open point at 10

How is the inequality 'X is less than or equal to 5 or X is greater than 8' represented on a number line?

• With points equal to 5 and 8

• With points greater than 5 and less than 8

• With points less than 5 and greater than 8

• With points between 5 and 8