Exploring the Basics of Inequalities

This video tutorial introduces the concept of inequalities, explaining the different inequality symbols and how they are used to compare values. It provides step-by-step instructions on how to graph inequalities on a number line, using examples such as n > 5, R ≤ 3, a < 7, and H ≥ 6. The tutorial emphasizes the use of open and shaded dots to represent different types of inequalities and demonstrates shading techniques to indicate the range of values that satisfy each inequality.

What is an inequality in mathematics?

• A sentence that uses only variables.

• A sentence that uses an equality symbol to compare values.

• A sentence that uses an inequality symbol to compare values.

• A sentence that uses only numbers.

Which of the following is NOT an inequality symbol?

• Equal to

• Less than

• Greater than or equal to

• Greater than

How do you represent n > 5 on a number line?

• With an open dot at 5 and shading to the left.

• With an open dot at 5 and shading to the right.

• With a shaded dot at 5 and shading to the left.

• With a shaded dot at 5 and shading to the right.

What type of dot is used for n > 5 on a number line?

• Square dot

• Triangle dot

• Open dot

• Shaded dot

How do you represent r ≤ 3 on a number line?

• With an open dot at 3 and shading to the right.

• With a shaded dot at 3 and shading to the left.

• With an open dot at 3 and shading to the left.

• With a shaded dot at 3 and shading to the right.

What type of dot is used for r ≤ 3 on a number line?

• Square dot

• Triangle dot

• Open dot

• Shaded dot

How do you represent a < 7 on a number line?

• With an open dot at 7 and shading to the left.

• With a shaded dot at 7 and shading to the left.

• With a shaded dot at 7 and shading to the right.

• With an open dot at 7 and shading to the right.

What type of dot is used for a < 7 on a number line?

• Triangle dot

• Square dot

• Open dot

• Shaded dot

How do you represent h ≥ 6 on a number line?

• With an open dot at 6 and shading to the right.

• With an open dot at 6 and shading to the left.

• With a shaded dot at 6 and shading to the right.

• With a shaded dot at 6 and shading to the left.

What type of dot is used for h ≥ 6 on a number line?

• Square dot

• Triangle dot

• Open dot

• Shaded dot