Graphing Compound Inequalities on the Number Line

The video tutorial explains compound inequalities, which consist of more than one part. It covers two types: 'and' and 'or' inequalities. For 'and', the graph shows where both conditions are true, while for 'or', it shows both conditions separately. The tutorial provides examples and demonstrates how to graph these inequalities, using filled and open circles to represent inclusive and exclusive values, respectively.

What does a compound inequality mean?

• An inequality with more than one part

• An inequality with a single variable

• An inequality with no solution

• An inequality with only one part

In a compound inequality with 'and', what part of the graph do you shade?

• Where both inequalities are true

• The entire graph

• Where neither inequality is true

• Where either inequality is true

How do you represent 'X is less than or equal to 3' on a graph?

• A solid dot at 3

• An open circle at -3

• An open circle at 3

• A solid dot at -3

What type of dot is used to represent 'X is greater than negative 2'?

• A solid dot

• An open circle

• A filled-in dot

• A shaded dot

When graphing 'and' compound inequalities, where do you shade?

• Where either inequality is true

• Where both inequalities overlap

• The entire graph

• Where neither inequality is true

How do you graph 'X is less than or equal to 3 and X is greater than -2'?

• Shade the entire graph

• Shade where both conditions overlap

• Shade where either condition is true

• Do not shade any part of the graph

In a compound inequality with 'or', what part of the graph do you shade?

• Where neither inequality is true

• Where both inequalities are true

• Where either inequality is true

• The entire graph

What is the key difference between 'and' and 'or' compound inequalities?

• 'And' and 'or' both require both conditions to be true

• 'And' requires both conditions to be true, 'or' requires at least one

• 'And' requires at least one condition to be true, 'or' requires both

• 'And' and 'or' both require at least one condition to be true

How do you represent 'X is greater than 5' on a graph?

• A solid dot at -5

• An open circle at 5

• An open circle at -5

• A solid dot at 5

What type of dot is used to represent 'X is less than 1'?

• An open circle

• A filled-in dot

• A solid dot

• A shaded dot