Graphing Inequalities on a Number Line

The video tutorial covers graphing inequalities, explaining the difference between open and closed dots, and how to graph inequalities on a number line. It provides examples and addresses common mistakes, such as misinterpreting inequality symbols. The tutorial also discusses how to handle tricky problems where inequalities are written in reverse, emphasizing the importance of understanding the concepts rather than memorizing rules. The video concludes with a reminder that students can take online courses if they struggle with the subject.

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

• Inequality involves only addition and subtraction.

• Equality involves only multiplication and division.

• Inequality means greater than or less than, not equal to.

• Equality means greater than or less than, not equal to.

What does an open dot signify in graphing inequalities?

• The number is negative.

• The number is zero.

• The number is not included.

• The number is included.

What is the purpose of using a closed dot in graphing inequalities?

• To indicate the number is negative.

• To indicate the number is not included.

• To indicate the number is included.

• To indicate the number is zero.

When graphing 'X is greater than 3', where do you place the open circle?

• On the number 5.

• On the number 4.

• On the number 2.

• On the number 3.

If 'X is greater than or equal to 3', what type of dot is used?

• Open dot

• Closed dot

• No dot

• Half-filled dot

In the inequality 'X is less than or equal to -1', which direction do you shade on the number line?

• No shading

• To the left

• To the right

• Both directions

What should you remember about the direction of shading when graphing 'X is greater than 3'?

• Shade to the left of 3.

• Shade to the right of 3.

• Do not shade at all.

• Shade both sides of 3.

What should you do if an inequality is written backwards?

• Ignore it.

• Flip the inequality to read it correctly.

• Shade both sides of the number line.

• Use an open dot regardless of the inequality.

What is a common mistake students make when graphing inequalities?

• Both A and B.

• None of the above.

• Not shading the number line.

• Using the wrong type of dot.

Where can you take an online course if you are struggling with graphing inequalities?

• Silicon Valley High School

• Harvard University

• MIT

• Stanford University