Graphing Inequalities and Number Lines

The video tutorial explains how to graph inequalities on a number line, focusing on the use of open and closed circles to represent whether a number is part of the solution set. It covers inequalities such as X > 2, X < -3, X ≥ -1, X ≤ 4, X < 0, X ≥ 0, and X > -2, emphasizing the importance of the direction of shading on the number line and ensuring the variable is first in the inequality expression.

What does an open circle on a number line indicate when graphing inequalities?

• The number is less than all other numbers.

• The number is part of the solution.

• The number is not part of the solution.

• The number is the only solution.

When graphing 'X is greater than 2', which direction should you shade on the number line?

• To the left of 2

• To the right of 2

• Both sides of 2

• Do not shade

Which of the following is true for 'X is less than negative three'?

• Shade to the right of -3

• Shade to the left of -3

• Do not shade

• Use a closed circle at -3

What does a closed circle on a number line represent in inequalities?

• The number is less than all other numbers.

• The number is greater than all other numbers.

• The number is part of the solution.

• The number is not part of the solution.

For the inequality 'X is less than or equal to 4', where should the shading be on the number line?

• To the right of 4

• To the left of 4

• No shading needed

• Both sides of 4

What is the significance of the bar under the inequality symbol?

• It indicates the number is part of the solution.

• It indicates the number is not part of the solution.

• It indicates the number is greater than all other numbers.

• It indicates the number is less than all other numbers.

In the inequality 'X is less than zero', what type of circle is used at zero?

• Open circle

• Closed circle

• No circle

• Double circle

When graphing 'X is greater than or equal to zero', what type of circle is used at zero?

• Open circle

• Closed circle

• No circle

• Double circle

For the inequality 'X is greater than negative two', which direction should you shade?

• No shading needed

• To the right of -2

• To the left of -2

• Both sides of -2

What should you do if the variable is not first in an inequality?

• Use a different symbol

• Ignore the inequality

• Rewrite the inequality with the variable first

• Leave it as it is