Understanding Inequalities

This video tutorial covers the basics of graphing and solving inequalities. It explains the difference between equations and inequalities, focusing on the four inequality symbols: less than, greater than, less than or equal to, and greater than or equal to. The tutorial also demonstrates how to graph inequalities using open and closed dots and arrows to indicate the range of possible solutions. Several examples are provided to illustrate these concepts, and viewers are encouraged to practice graphing inequalities on their own.

What is the main difference between an equation and an inequality?

• An equation uses inequality symbols, while an inequality uses an equal sign.

• An equation has one solution, while an inequality has a range of solutions.

• An equation has multiple solutions, while an inequality has one.

• An equation and an inequality are the same.

Which symbol represents 'less than'?

• <=

• >=

• <

• >

How can you identify a 'greater than or equal to' symbol?

• It has a smaller side first and is underlined.

• It has a bigger side first and is underlined.

• It is not underlined.

• It looks like a bent L.

What does an open dot on a graph indicate?

• The value is included in the solution.

• The inequality is less than or equal to.

• The value is not included in the solution.

• The inequality is an equation.

In graphing, what does a closed dot signify?

• The value is part of the solution.

• The inequality is less than.

• The value is not part of the solution.

• The inequality is greater than.

In Example 1, what direction does the arrow point for a 'less than or equal to' inequality?

• Left

• Down

• Up

• Right

In Example 2, why is the dot open for the inequality?

• Because the inequality is an equation.

• Because the value is not included in the solution.

• Because the inequality is less than or equal to.

• Because the value is included in the solution.

In Example 2, what does the direction of the arrow indicate?

• The values are negative.

• The values are decreasing.

• The values are constant.

• The values are increasing.

In Example 3, what does a closed dot represent?

• The value is not part of the solution.

• The value is part of the solution.

• The inequality is less than.

• The inequality is greater than.

In Example 3, what does the arrow direction tell us about the values?

• They are increasing.

• They are decreasing.

• They are negative.

• They are constant.