Representing the Solution Set of an Inequality on a Number Line

This video tutorial teaches how to represent the solution set of an inequality on a number line. It begins with an introduction to inequalities and a review of key concepts such as variables and number line symbols. The core lesson involves solving an inequality step-by-step and graphing the solution on a number line, including identifying the type of circle and shading required. By the end, viewers will understand how to visually represent inequalities using number lines.

What does an open circle on a number line indicate?

• Equal to

• Greater than or less than

• Greater than or equal to

• Less than or equal to

What is the first step in solving the inequality 5/10 X - 5 < -1.5?

• Divide both sides by 5/10

• Subtract 5 from both sides

• Add 5 to both sides

• Multiply both sides by 5/10

After isolating the variable X in the inequality, what is the next step?

• Write the solution in words

• Identify the type of circle needed

• Shade the number line

• Check the solution

What type of circle is used to represent X < 7 on a number line?

• Closed circle

• No circle

• Open circle

• Half-filled circle

Which direction should the number line be shaded for the inequality X < 7?

• No shading needed

• Both sides of 7

• To the left of 7

• To the right of 7