Graphing Inequalities: Key Concepts and Techniques

The video tutorial covers graphing inequalities, including solid and dotted lines, and shading areas based on inequality signs. It introduces the concept of undefined inequalities, focusing on vertical lines without a y-variable. The tutorial provides examples of graphing inequalities and applies these concepts to real-world scenarios, such as budgeting for a party. It emphasizes understanding inequality-related vocabulary and writing linear inequalities to represent situations.

What should you do if you are missing assignments?

• Ask for extra credit

• Ignore the missing assignments

• Check the student view and submit them

• Wait for the next assignment

What does an undefined inequality typically lack?

• A y-variable

• An x-variable

• An inequality sign

• A numerical value

In graphing 'x is greater than 4', where should you shade?

• To the right of the line

• Above the line

• To the left of the line

• Below the line

What type of line is used when the inequality is 'x is less than or equal to -2'?

• Solid line

• No line

• Dotted line

• Horizontal line

Which term indicates a maximum value in an inequality?

• Is below

• Is greater than

• At least

• Is not more than

What does 'at most' signify in an inequality?

• Greater than

• Less than or equal to

• Equal to

• Not equal to

If Elijah wants to spend at most $8.25, which inequality represents his budget for carrots and grapes?

• 2x + 0.75y <= 8.25

• 2x + 0.75y != 8.25

• 2x + 0.75y = 8.25

• 2x + 0.75y >= 8.25

What does the graph point (0, 4) represent in the context of buying snacks?

• 0 packages of carrots

• 4 packages of carrots

• 4 packages of grapes

• 0 packages of grapes

How many packages of grapes can Elijah buy if he buys no carrots?

• 11 packages

• 8 packages

• 2 packages

• 4 packages

What is the maximum number of carrot packages Elijah can buy if he buys no grapes?

• 11 packages

• 2 packages

• 4 packages

• 8 packages