Exploring Writing and Graphing Inequalities

The video tutorial covers the concept of inequalities, explaining how they are used to compare values in mathematics. It introduces the symbols for inequalities and demonstrates how to graph them on a number line through examples. The tutorial also explores real-world applications of inequalities, such as determining minimum or maximum values, and provides examples of how to graph these scenarios. The video emphasizes understanding the direction of inequalities and the use of open or closed circles on number lines.

What symbol represents a value that is not equal to but less than another?

• <=

• >

• >=

• <

When graphing 'x < -5' on a number line, what type of circle is used at -5?

• Crossed

• Open

• Closed

• Dotted

In the context of inequalities, what does 'at least' signify?

• Less than

• Greater than or equal to

• Exactly

• Not equal to

If Justin has at least $20, which of the following amounts could he have?

• $15

• $20

• $19.99

• $0

For the inequality 'y ≤ 9', which is a possible value of y?

• 9.5

• 10

• None of the above

• 9

When graphing an inequality that includes 'greater than or equal to', what type of circle is used?

• Open

• Closed

• Dotted

• None

Which phrase best matches the inequality symbol '≤'?

• At least

• At most

• Equal to

• Exceeds

If a dog weighs more than 30 pounds, which of the following weights is possible?

• 25 pounds

• 29.9 pounds

• 30 pounds

• 30.5 pounds

What does the inequality 'P > 30' indicate about the dog's weight?

• Up to 30 pounds

• More than 30 pounds

• Less than 30 pounds

• Exactly 30 pounds

In graphing inequalities, what direction does the arrow point when the variable is 'greater than' a number?

• Down

• Left

• Right

• Up