Graphing Inequalities on a Number Line

The video tutorial discusses the importance of water intake and defines a variable W to represent the number of ounces of water consumed daily. It explains the concept of inequalities using W, focusing on drinking more than 64 ounces and the difference between strictly greater than and greater than or equal to 64 ounces. The tutorial uses a number line to visually depict these inequalities.

What variable is used to represent the number of ounces of water consumed per day?

• X

• Y

• W

• Z

What is the minimum recommended daily water intake in ounces?

• 32 ounces

• 80 ounces

• 48 ounces

• 64 ounces

Which inequality represents drinking more than 64 ounces of water?

• W < 64

• W >= 64

• W <= 64

• W > 64

On a number line, how is the value 64 depicted when W > 64?

• Double circle at 64

• No circle at 64

• Open circle at 64

• Filled circle at 64

Why is 64 not included in the inequality W > 64?

• Because 64 is not a number

• Because 64 is less than 64

• Because 64 is equal to 64

• Because 64 is greater than 64

What does the inequality W >= 64 mean?

• W is greater than 64

• W is less than or equal to 64

• W is less than 64

• W is greater than or equal to 64

How is the value 64 depicted on a number line when W >= 64?

• No circle at 64

• Open circle at 64

• Double circle at 64

• Filled circle at 64

What is the main difference between W > 64 and W >= 64?

• W > 64 is less than 64

• W >= 64 includes 64

• W >= 64 is less than 64

• W > 64 includes 64

If you drink exactly 64 ounces of water, which inequality is satisfied?

• W < 64

• W > 64

• W >= 64

• W <= 64