Understanding Inequalities

This video tutorial covers the topic of inequalities, focusing on graphing them on a number line. It begins with an introduction to inequalities, explaining how they compare expressions using symbols like less than or greater than. The tutorial then details how to graph inequalities, using open and closed circles to represent different solution sets. Examples are provided to illustrate the process, followed by practice problems for viewers to apply their knowledge. The video concludes with a summary and encouragement to continue learning about solving inequalities.

Which of the following symbols is NOT used to represent an inequality?

• >

• <

• =

• ≥

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

• The inequality is an equation

• The number is not included in the solution set

• The number is included in the solution set

• The inequality has no solution

When graphing x > 3, which direction should the arrow point on the number line?

• Right

• Down

• Up

• Left

If an inequality is x ≤ -2, what type of circle should be used on the number line?

• Closed circle

• Half-filled circle

• Open circle

• No circle

In the inequality x < 5, which of the following numbers is part of the solution set?

• 5.5

• 4

• 6

• 5

What is the first step in graphing an inequality?

• Write the inequality

• Shade the solution set

• Draw the number line

• Determine the type of circle

If a graph shows a closed circle at -3 and an arrow pointing left, what is the inequality?

• x ≥ -3

• x > -3

• x ≤ -3

• x < -3

Which of the following values is NOT part of the solution set for x > 2?

• 3

• 4

• 2.5

• 2

How can you determine if a number is part of the solution set from a graph?

• Count the number of circles

• See if the number is in the shaded region

• Check if the number is on the number line

• Look for the number in the equation

What does a shaded region on a number line represent in an inequality graph?

• The solution set

• The midpoint

• The excluded values

• The boundary