Graphing Inequalities on a Number Line

The video tutorial covers how to graph inequalities on a number line, using examples such as x > 2, t > 60, y < 5, w ≤ 0.8, n ≥ -3, and x < -2. It explains the use of open and closed dots to represent whether a number is included in the solution set and how to shade the number line to show the range of solutions. The tutorial also discusses the concept of inequalities with 'less than or equal to' and 'greater than or equal to'.

What is the essential question when graphing inequalities on a number line?

• How to solve equations

• How to find the slope of a line

• How to calculate the area of a circle

• How to represent solutions of inequalities

Which of the following is true about the solutions of the inequality x > 2?

• It has a finite number of solutions

• It includes only the number 2

• It includes all numbers greater than 2

• It includes all numbers less than 2

In the roller coaster analogy, what height must a person be to ride?

• Exactly 2 feet tall

• Less than 2 feet tall

• At least 2 feet tall

• Exactly 8 feet tall

What does an open circle on a number line indicate?

• The number is the only solution

• The number is not a solution

• The number is a solution

• The number is less than zero

At what temperature are forest fires most likely to occur?

• Less than 60°F

• Greater than 60°F

• Exactly 100°F

• Exactly 60°F

When graphing y < 5, which direction should you shade?

• To the right

• Downwards

• Upwards

• To the left

Why is y = 5 not a solution to the inequality y < 5?

• Because 5 is equal to 5

• Because 5 is less than 5

• Because 5 is greater than 5

• Because 5 is not less than 5

What does a filled circle on a number line represent?

• The number is a solution

• The number is less than zero

• The number is greater than zero

• The number is not a solution

How do you graph w ≤ 0.8 on a number line?

• Filled circle at 0.8, shade to the right

• Open circle at 0.8, shade to the left

• Filled circle at 0.8, shade to the left

• Open circle at 0.8, shade to the right

When graphing n ≥ -3, which direction should you shade?

• Upwards

• To the right

• Downwards

• To the left