Graphing Single Variable Inequalities on a Number Line

What should you do when graphing inequalities on a number line?

• Shade the area that makes the inequality true

• Do not shade any area

• Shade only the boundary

• Shade the area that makes the inequality false

When should you use a closed dot on the number line?

• When the inequality is not strict

• When the inequality is strict

• When the boundary is a solution

• When the boundary is not a solution

What type of dot should be used at the boundary if the boundary is not a solution?

• Closed dot

• No dot

• Open dot

• Shaded dot

In the example of graphing X < 5, which direction should you shade on the number line?

• Both directions

• Do not shade

• To the left of 5

• To the right of 5

Why is the dot at 5 open when graphing X < 5?

• Because 5 is equal to 5

• Because 5 is greater than 5

• Because 5 is not less than 5

• Because 5 is less than 5

Which of the following numbers is less than 5?

• 6

• 7

• 4

• 5

In the example of graphing X ≥ -3, which direction should you shade on the number line?

• Do not shade

• To the right of -3

• To the left of -3

• Both directions

Why is the dot at -3 closed when graphing X ≥ -3?

• Because -3 is less than -3

• Because -3 is greater than -3

• Because -3 is equal to -3

• Because -3 is not greater than -3

Which of the following numbers is greater than or equal to -3?

• 0

• -6

• -5

• -4

In problem B of the check for understanding, what inequality is represented by the open circle at -7 and shading to the left?

• X ≥ -7

• X > -7

• X ≤ -7

• X < -7